The graph of a quadratic function has a vertex located at (7,-3) and passes through points (5,5) and (9,5). which equation best represents this function?
a) f(x)=(x-7)^2-3
b) f(x)=2(x-7)^2-3
c) f(x)= -(x-5)^2+5
d) f(x)= -2(x-5)^2+5

B) .

Step-by-step explanation:

The vertex form of the equation is given by .

We plug in the vertex to obtain:

.

Since the graph passes through (5,5) and (9,5), they must satisfy its equation.

.

.

Divide both sides by 4.

Therefore the equation is:

.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

y > 1/3x

y < = -x + 4

hope this : )