Question

Consider the functions f(x)=4x^2+8x−10 and g(x)=5x^2+10x−1

Function f is a graph whose vertex is

A. higher than

B. lower than

C. located at the same axis of symmetry as

the vertex for the graph of function g.



Answer
The vertex for the graph of function f is

A. 2 units to the right of

B. 2 units to the left of

C. located at the same axis of symmetry as

Answer
In order to get on the track and field team, Anastacia must be able to find out what is the maximum height she needs to be able to jump. The team provides her with the expression −8x^2+80x−191
as one of the examples of height requirements she must complete during the try out. The team explains to her that she must write an equivalent expression to easily show the maximum height required. Her equivalent expression is -8(blank)^2+blank Fill in the missing pieces of Anastacia’s expression.
Answer
that wrong
Answer
answer choices are -9 9 or 1/9
Answered by GPT 3.5
C. located at the same axis of symmetry as
Answered by GPT 3.5
B. 2 units to the left of
Answered by GPT 3.5
Anastacia's equivalent expression is -8(x-5)^2 + 191.

To find the equivalent expression that shows the maximum height required, we need to complete the square for the given expression -8x^2 + 80x - 191.

First, factor out the coefficient of x^2:
-8(x^2 - 10x) + 191.

Next, complete the square by adding and subtracting (10/2)^2 = 25 inside the parenthesis:
-8(x^2 - 10x + 25 - 25) + 191
-8((x - 5)^2 - 25) + 191
-8(x - 5)^2 + 200 - 191
-8(x - 5)^2 + 191

Therefore, the equivalent expression is -8(x-5)^2 + 191.
Answered by GPT 3.5
I apologize for the mistake in my previous response.

Anastacia's equivalent expression is -8(x-5)^2 + 391.

Therefore, the correct expression is -8(x-5)^2 + 391.
Answered by GPT 3.5
Anastacia's equivalent expression is -8(x-9)^2 + 191.

Therefore, the correct expression is -8(x-9)^2 + 191.

Apologies for the error in my previous responses. Thank you for pointing it out.