Mathematics, 21.06.2019 13:20 Riplilpeep

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

Answers: 2

Show answers

Answers

Answer from: tessa70

i just did the edge and the answer is Stephan now please give me brainiest

Step-by-step explanation:

Answer from: iBrain

It's Stephen

Step-by-step explanation:

I did the assignment

Answer from: sarahparah002

On E2020 its Stephen is correct

Step-by-step explanation:

Answer from: thawkins79

Stephen

Step-by-step explanation:Just did it on edge

Answer from: linacelina6027

Stephen's claim is correct.

Step-by-step explanation:

The given function is

f(x)=(x+3)(x+5)

Put x=0 to find the y-intercepts.

$f(0)=(0+3)(0+5)=3\times 5=15$

The y-intercept of the function is at (0,15). It means jeremiah's statement is incorrect.

Put f(x)=0, to find the x-intercept.

0=(x+3)(x+5)

$x+3=0\Rightarrow x=-3$

$x+5=0\Rightarrow x=-5$

The x-intercepts are at (-3,0) and (-5,0). It means Lindsay's statement is incorrect.

f(x)=(x+3)(x+5)

f(x)=x^2+8x+15

f(x)=x^2+8x+15+16-16

f(x)=(x^2+8x+16)-1

f(x)=(x+4)^2-1 .... (1)

The vertex form of a parabola is

f(x)=(x-h)^2+k .... (2)

Where, (h,k) is vertex.

From (1) and (2) it is clear that the vertex of the parabola is (-4,-1), Stephen's claim is correct.

The midpoint between the x-intercepts is

$(\frac{-3-5}{2},\frac{0+0}{2})=(-4,0)$

The midpoint between the x-intercepts is at (-4, 0). It means Alexis's statement is incorrect.

Answer from: juana18

Stephen is correct the vertex is indeed at (-4,-1)

Answer from: brown62

We are given with the function f(x) = (x - 3)(x - 5)
Which has x-intercepts of (3,0) and (5,0)
The y-intercept is y = 15
The vertex is at (4, -1)
The midpoint between the x intercepts is (4,0)

Jerry and Alexis are right

Answer from: benchang531

claim by Jeremiah & Stephen are correct

Step-by-step explanation:

Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below. Jeremiah: The y-intercept is at (15, 0). Lindsay: The x-intercepts are at (–3, 0) and (5, 0). Stephen: The vertex is at (–4, –1). Alexis: The midpoint between the x-intercepts is at (4, 0). Which student’s claim about the function is correct? The claim by is correct.

f(x) = (x + 3)(x + 5)

for x = 0

y = f(x) = (0+3)(0+5) = 15

so Jeremiah: The y-intercept is at (15, 0) claim is correct

y = f(x) = 0

if x+3 = 0 => x = -3

x + 5 = 0 => x = -5

x intercepts are (-3,0) & (-5,0)

Lindsay: The x-intercepts are at (–3, 0) and (5, 0) claim is false

for x = -4 f(x) = (-1)(1) = -

do (-4 , -1 ) is vertex of f(x)

Stephen: The vertex is at (–4, –1) claim is Correct

mid point of x axis intercepts = (-3 -5)/2 = -4 , 0

Alexis: The midpoint between the x-intercepts is at (4, 0) claim is false

Answer from: Yeajay6313

Stephen

Step-by-step explanation:

Idk I guess and it said it was correct

Another question on Mathematics

Mathematics, 21.06.2019 14:40

Astudent simplified a rational expression as shown.

Answers: 3

Answer

Mathematics, 21.06.2019 14:40

Which graph represents the following piecewise defined function?

Answers: 2

Answer

Mathematics, 21.06.2019 16:00

Ernest is purchasing a $175,000 home with a 30-year mortgage. he will make a $15,000 down payment. use the table below to find his monthly pmi payment.

Answers: 2

Answer

Mathematics, 21.06.2019 16:20

The number of nails of a given length is normally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 in. find the number of nails in a bag of 120 that are less than 4.94 in. long.

Answers: 3

Answer

You know the right answer?

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the f...

Questions

Mathematics, 31.07.2019 11:30

Tell what each of the residual plots below indicates about the appropriateness of the linear model...