Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:

$\displaystyle Maximum: 11$

Step-by-step explanation:

Convert this Quadratic Equation to Vertex Form by completing the square, $\displaystyle y = a[x - h]^2 + k$:

$\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum$

So as you can see, each time we broke the equation down, we used the formula $\displaystyle [\frac{b}{2}]^2$ to complete the square.

** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.

I am joyous to assist you anytime.