Worth 70 points!

comparing quadratic functions

4. two different quadratic functions have graphs with the same vertex. which function’s graph increases faster between x = 2 and x = 3?

function a

this is the picture attachment

function b

x | y

–1 | 12.5

0 | 5

1 | 0.5

2 | –1

3 | 0.5

4 | 5

5 | 12.5

a. what is the vertex of each function's graph? (1 point)

b. what is the average rate of change in function a between x = 2 and x = 3? (2 points)

c. what is the average rate of change in function b between x = 2 and x = 3? (2 points)

d. which function's graph increases faster between x = 2 and x = 3? (1 point)

4a. (2,-1)

4b. 1

4c. 1.5

4d. Function B

Step-by-step explanation:

4a. The vertex of the function is the (x,y) point at the peak or valley of the parabola. In the picture, function A has its vertex at (2,-1). In the table, function B has its vertex at (2,-1) since the y values repeat around this part of the table.

4b-d. The average rate of change is the slope between the points at x = 2 and x = 3. Calculate the slope between points (2,-1) and (3,0) for Function A then for function B (2,-1) and (3,0.5).

Function B has a greater average rate of change meaning it is increasing at a faster rate than Function A.

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29