Question

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.

Answer 1

Answer:

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 2

Answer: Stephen

Step-by-step explanation:

Idk I guess and it said it was correct