Question

99 POINTS, NEED HELP WITH ALGEBRA

1. Use the parabola tool to graph the quadratic function
f(x)=x^2 + 10x + 16.

2. Let f(x) = x^2 - 2x - 4
What is the average rate of change for the quadratic function from x = -1 to x = 4?

3. Use the parabola tool to graph the quadratic function
f(x) = -5x^2 - 2

4. Use the parabola tool to graph the quadratic function
f(x) = 2x^2 + 24x + 70

5. Select the statements that are true for the graph of y = (x + 2)^2 + 4
A. The vertex is (-2, 4)
B. The graph has a minimum
C. The vertex is (2, 4)
D. The graph has a maximum.

6. The table of values represents a quadratic function.
What is the average rate of change for f(x) from x = -10 to x = 0?
Graph: x f(x)
-10 184
-5 39
0 -6
5 49
10 204

7. Find the equation for the axis of symmetry for f(x) = 2x^2 + 3x + 9
A. x = 4/3
B. x = -4
C. x = 3
D. x = -3/4

8. Given f(x) = x^2 - 12x + 46
Enter the quadratic function in vertex form in the box.

Answer 1

1 is in picture above.

2.

`average \: rate = (f(4) - f(1))/(4 - ( - 1)) = (5)/(4 - ( - 1)) = 1`

3. In the picture...

4. In the picture...

5. Parts A and B are true.

6.

`average \: rate = (f(0) - f( - 10))/(0 - ( - 10)) = (( - 6) - 184)/(0 - ( - 10)) = ( - 190)/(10) = - 19`

7. The axis symmetry equation of

`y = a {x}^(2) + bx + c`

is

`x = ( - b)/(2a)`

So it would be x=-3/4

8.

`y = {(x - 6)}^(2) + 10`

T=(6, 10) vertex coordinates...