Question

Will give medal for help

Answer 1

What is the average rate of change from x = –4 to x = 1?

–3
–1
0
1

Answer 2

Average rate of change = \(\dfrac{f(x)-f(a)}{x-a}\)

Answer 3

So your function is shifted to the left an its vertex is at (-1,5) How can we write that?

Answer 4

This might help.

Answer 5

so -4-(-1)
1-5

Answer 6

is that right ^^^^^

Answer 7

you there?

Answer 8

No that's not correct.

Answer 9

what did i do wrong?

Answer 10

We need to find our function first.

Answer 11

So if your graph is shifted 1 unit to the left and 5 units down, then you would write it as \(f(x) = (x\color{red}{+}1)^2\color{red}{-5}\)

Answer 12

Do you see what I mean?

Answer 13

kind of

Answer 14

@hartnn

Answer 15

The average change form x = a to x = b is

\(\dfrac{f(b) - f(a)}{b - a}\)

Answer 16

You want the average change from x = -4 to x = 1.
It is important to keep the order in m ind.
You don't want the average change from x = 1 to x = -4.

Answer 17

1 right

Answer 18

Find f(-4) and f(1).
You can do this by looking in the graph.
What is the y-coordinate where x = -4?
What is the y-coordinate where x = 1?

Answer 19

y= 1 then right

Answer 20

In your case, a = -4, and b = 1, so
From the graph:
f(-4) = 4
f(1) = -1

\(\dfrac{f(1) - f(-4)}{1 - (-4)}\)

\(=\dfrac{-1 - 4}{1 + 4}\)