Question

2.

Which of the following is the maximum value of the function y = −2x^2 + 5?

A. 0

B. 25

C. −2

D. 5

Answer 1

A. 0 because 5 is the minimum

Explanation:

Use the formula

x = − b /2 a

to find the maximum and minimum.

( 0 , 5 )

Multiple x² by -1 would flip it across x-axis so -x² would have maximum value 0. Now multiplying -x² by 2 stretch it vertically, however 2 times 0 is still 0 so maximum value is still 0. Now we add it by 5 which makes it shifts 5 units up, so this affects maximum value. So everything will be shifted 5 units up, so new maximum would be 5. Final 5