Question

Y=2/3(x-5)^2

y=1/2(x-5)^2
y=3/4(x-5)^2
y=-4(x-5)^2
For the quadratic equations, show there which statement is true?
A.) The graph open upward
B.) The graph open downward
C.) The graph is symmetric about the y-axis
D.) The graphs are symmetric about the line x=5

PLEASE HELP IT NEEDS TO BE TURNED IN TODAY

Answer 1

see below

Explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

y=2/3(x-5)^2: A, D

y=1/2(x-5)^2: A, D

y=3/4(x-5)^2: A, D

y=-4(x-5)^2: B, D