PLEASE HELP ASAP!!! PLEASE ANSWER WHAT YOU CAN!!!!

1. The function f(x) is shown on the graph.

The graph shows a downward opening parabola with a vertex at negative 3 comma 16, a point at negative 7 comma 0, a point at 1 comma 0, a point at negative 6 comma 7, and a point at 0 comma 7.

What is the standard form of the equation of f(x)?

f(x) = −x2 − 6x + 7
f(x) = −x2 + 6x + 7
f(x) = x2 − 6x + 7
f(x) = x2 + 6x + 7


2 The table of values represents a quadratic function f(x).


x f(x)
−7 14
−6 7
−5 2
−4 −1
−3 −2
−2 −1
−1 2
0 7
1 14

What is the equation of f(x)?
f(x) = (x − 4)2 − 1
f(x) = (x − 3)2 − 2
f(x) = (x + 3)2 − 2
f(x) = (x + 4)2 − 1

3. The table represents a quadratic function C(t).
t C(t)
−2 1
−1 4
0 5
1 4
2 1
What is the equation of C(t)?
C(t) = −(x − 5)2
C(t) = (x − 5)2
C(t) = −x2 + 5
C(t) = x2 + 5

4. Dominique throws a softball from the outfield. After 1 second, the ball is 10 feet high. After 4 seconds, the ball reaches its maximum height of 46 feet. After 7 seconds, it returns to a height of 10 feet.

What is the equation of the quadratic function that models the height of the ball h(t) at time t?

h(t) = 4(t + 4)2 + 46
h(t) = −4(t − 4)2 + 46
h(t) = 2(t + 3)2 + 46
h(t) = −2(t − 3)2 + 46


5. The function g(x) is shown on the graph.

The graph shows an upward opening parabola with a vertex at negative 4 comma 3, a point at negative 6 comma 7, and a point at negative 2 comma 7.

What is the equation of g(x) in vertex form?

g(x) = (x − 4)2 − 3
g(x) = (x − 4)2 + 3
g(x) = (x + 4)2 − 3
g(x) = (x + 4)2 + 3