Question

Use completing the square to rewrite the given function in vertex form. Determine whether the vertex is a maximum or minimum

value. Select the TWO correct answers.
y = x2 + 4x - 10
-
A)
The vertex form is y = (x - 6)2 + 2.
B)
The vertex form is y= 4x + 2)2 - 10.
C)
The vertex form is y = -(x - 2)2 - 6.
D)
The vertex is a minimum value at point (-6,2).
E)
The vertex is a maximum value at point (2.-6).

Answer 1

Explanation:

The equation as written doesn’t work. Are you sure it is y = x² + 4x - 10, and not

y = -x² + 4x - 10 ?

y = -(x² - 4x) - 10

y = -(x² - 4x + 2²) + 2² - 10

y = -(x-2)² - 6

the vertex is a maximum at (2,-6)