Mathematics High School

A parabola has x-intercepts of (2, 0) and (-4, 0) and has a leading coefficient of 1. What is the equation of the parabola in standard form? *

Answers

Answer 1

9514 1404 393

Answer:

  y = x^2 +2x -8

Step-by-step explanation:

For x-intercepts p and q, factors of the parabola's equation are (x-p) and (x-q). Since the leading coefficient is 1, those are the only factors.

  y = (x -2)(x -(-4))

  y = (x -2)(x +4) = x(x +4) -2(x +4) . . . . use the distributive property

  y = x^2 +4x -2x -8 . . . . use the distributive property again

  y = x^2 +2x -8 . . . . . . . .equation in standard form

A Parabola Has X-intercepts Of (2, 0) And (-4, 0) And Has A Leading Coefficient Of 1. What Is The Equation

Related Questions

The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2

a
y = - 4/3x + 3 1/3
b
y = - 3/4x + 10
c
y = - 4/3x + 10
d
y = 3/4x + 10

Answers

Answer:

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

[tex]3x-4y=-2[/tex]

First, convert the second equation into slope-intercept form:

[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]

Distribute:

[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]

Therefore:

[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]

The answer is C.

Subtract f(x) and g(x) when:
f(x) = 3.2 + 2x - 8 and g(x) = 72 – 8x + 4
f(x) - g(x) =

Answers

Step-by-step explanation:

The answer is

[tex]10x - 80.8[/tex]

I NEED HELP I WILL MARK BRAINLIEST!!!
Find the slope of the following graph.

Answers

2/1 or 2
It's goes up by 2 and to the right once.

Answer:

1/2 or one half

Step-by-step explanation:

I did this question

Convert the following equation into
slope-intercept form.
x - 2y = 6

Y = ? X/ + ?

Answers

Y= -1/2x-3. Subtract x on both sides, then divide both sides by -2

1. Чx -2 = 2x
what is x?

Answers

X=1 hope that helps all you need to do is subtract 4x on both sides then divide 2 by 4 and you get -2 then do -2 divided by -2 and you get 1 for X

what is a 2 3/8 divided by 1 and 3/4 ​

Answers

Answer: 19/14

Explanation:

2 3/8 = 19/8

1 3/4 = 7/4

19/8 divide 7/4
= 19/8 x 4/7
= 19/14

please help will give brainliest

Answers

Answer:

I think it is C.

Step-by-step explanation:

Answer:

volume is length x width x height, the answer is 160 cubed feet.

Step-by-step explanation:

Length x width x height and bam, there is your answer

If 7 buses can transport 280 persons how many persons can be carried by 12 buses

Answers

Step-by-step explanation:

672 I'm pretty sure cus yea oop-

Answer:

480

Step-by-step explanation:

280/7 = 40

40x12 = 480

I’m super confused on this problem PLEASE HELP!

Answers

Answer:

D

Step-by-step explanation:

D is the only one that makes sense

convert the following to inches

3' 8"
​

Answers

Answer: 44 inches

Step-by-step explanation:

believe me plz mark me brainliest plz

Answer:

44 inches

Step-by-step explanation:

Reduce to simplest form.
12/11 - (-2/3)

Answers

Answer:

58/33

Step-by-step explanation:

hope i could help yk

On a coordinate plane, 2 lines intersect at (0, 5).
Complete the statement.

The lines shown in the graph have the same

x-intercept.
y-intercept.
equation.
slope.

Answers

Answer:

y - intercept

Step-by-step explanation:

I took the assignment  

Answer: b

y-intercept.

Step-by-step explanation:

did the assessment

Please help me this is math 10, you need to find area of the shaded region in factored form.

Answers

Answer:

Express the fraction in its simplest form.



What is the missing number?

Right answer gets brainlist

Answers

Answer:

10 feet

Step-by-step explanation:

[tex] {r} = \sqrt{ \frac{V_{silo} }{\pi \times h} } \\ \\ {r} = \sqrt{ \frac{11938}{3.14 \times 38} } \\ \\ {r} = \sqrt{ \frac{11938}{119.32} } \\ \\r = \sqrt{100.050285} \\ \\ r = 10.0025139 \\ \\ r \approx \: 10\: ft[/tex]

10 is the answer to your question

In which choice is y not a linear function of x?
(A) y = 2(x + 2) + 2x
В
2(y - 2) + 2y = 2x
©
y = 2(x + 2) - 2x
D
2(y - 2) - 2y = 2x

Answers

c is not a linear function of x

plz help what’s the answer to this

Answers

The answer is About 2.69 ft

If 15 mL of a solution contains 75 mg of medication, how many mg of medication are in 60 mL of solution?

Answers

Given:

15 mL of a solution contains 75 mg of medication.

To find:

How many mg of medication are in 60 mL of solution?

Solution:

We have,

Medication in 15 mL of a solution = 75 mg

Medication in 1 mL of a solution = [tex]\dfrac{75}{15}[/tex] mg

                                                     = [tex]5[/tex] mg

Medication in 60 mL of a solution = [tex]60\times 5[/tex] mg

                                                        = [tex]300[/tex] mg

Therefore, 60 mL of a solution contains 300 mg of medication.

solve the equation t8/t2 = _____

Answers

Answer:

[tex]t^{6}[/tex]

Step-by-step explanation:

I am going to assume exponents for this question.

[tex]\frac{t^{8}}{t^{2}}[/tex]

When dividing exponents with the same base, it is simply subtraction, so 8 - 2 = 6 which produces the answer.

Write an equation in slope-intercept form of the line that passes through (1, −9) and (−3, −9). y=

Answers

Answer:

Step-by-step explanation:

(-9 + 9)/ (-3 - 1)= 0/-4 = 0

y + 9 = 0(x - 1)

y + 9 = 0

y = -9

True or False? The point at which a tangent line meets a circle is called the point of tangency. O A. True O B. False.​

Answers

True hope this helped

True, The point at which a tangent line meets a circle is called the point of tangency.

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

To check the point at which a tangent line meets a circle is called the point of tangency.

Now, We know that;

A line which touches the circle at a single point is known as a tangent to a circle.

And, The point where tangent meets the circle is called point of tangency.

Thus, The given statement is true.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ5

Please help me! I need to graph this equation but I don't exactly know how.

Answers

Answer:

There would be a y-intercept of one and a slope of -3/4.

Step-by-step explanation:

Negative slope means it will increase going left.

3/4 is the slope 3 rise/ 4 run

the y intercept is 1, so the line will cross the y axis at the 1 point.

(x - 3)2 + (y + 2)2 = 4​

Answers

as a function this is x=3 y=3

Answer:

x = -y + 3

y = -x + 3

In standard form, it would be 2x + 2y = 6

Solve 34x+14y=5 for y.

Answers

This is how you solve it, and here is the answer!

Answer:

y=-17/7x+5/14

Step-by-step explanation:

It took the race car 22 minutes to travel 144.4 kilometers at which rate did the car travel

Answers

144.4/22 = 6.56 kilometers per min

6.56 * 60 = 393.82 kilometers per hour

PLEASE HELP URGENT WILL MARK BRAINIEST

Answers

Answer

DFE and FED

Step-by-step explanation:

one and three fourths times two fourths

Answers

Answer:

The answer is 7/8

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, please?

Does y=10 true or false??

Answers

Answer:

i think no it doesnt so false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

what is -6=2x now i thought that i did not find a trustworthy answer on this site because all i got was the equation for the answer which is clearly not the answer at all now you should u[date your site more because people might actually use that on their paper and get 0 credit so your not really helping people here on this site

Answers

Answer:

nose inglés ay pa la próxima

x = -3

you just divide the 2 to the other side and -6/2=-3.

What is the expression of the product of w and 8

Answers

Answer:

The expression would be 8w

HELP
ILL GIVE THE BEST ANSER 100 POINTS!!!!

Answers

awnser im believe it is 24 i think

Answer:

20 units square

Step-by-step explanation:

do the Pythagoras theorem

a²=b²+c² ⇒ a=√b²+c²

if b is 4 and c is 2 an a is the unknown

so a=√(4)²+(2)²

a=√20

then get the rule of the area of the square

Area of the square= s²

s=a=√20 (a is the hypotenuse of the triangle and also a side in the square)

so s²=20

Area of the square=20 units square

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