which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

< 5, - 23 >

Step-by-step explanation:

The vertex of f(x) = x² is at the origin (0, 0)

Find the vertex of g(x) = x² - 10x + 2

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

The the x- coordinate of the vertex is

= -

g(x) = x² - 10x + 2 ← is in standard form

with a = 1 and b = - 10, thus

= - = 5

Substitute x = 5 into g(x) for the corresponding y- coordinate

g(5) = 5² - 10(5) + 2 = 25 - 50 + 2 = - 23

vertex = (5, - 23)

Thus the translation from (0, 0 ) → (5, - 23) is

< 5, - 23 >

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.