Question

The functions f(x) = -(x + 4)2 + 2 and g(x) = (x − 2)2−2 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function. (10 points)

Answer 1

$\huge{ \mathcal{Hi there!}}$

If we write a quadratic in vertex form:

y=a(x−h)2+k

Then:

a8888 is the coefficient of x2

h8888 is the axis of symmetry.

k8888 is the max/min value of the function.

Also:

If a>0 then the parabola will be of the form ⋃and will have a minimum value.

If a<0 then the parabola will be of the form ⋂and will have a maximum value.

For the given functions:

a<0

f(x)=−(x−1)2+58888 this has a maximum value of 5

a>0

f(x)=(x+2)2−38888888 this has a minimum value of −3

$\ star \blue{ Hope it helps u}$

Answer 2

HEY MATE THERES THE SOLUTION WHICH MIGHT BE HELP FUL TO YOU