Question

which best describes the effect on the graph of f(x)=1/2x-3 if the -3 is changed to 1

Answer 1

move up 4 units

Answer 2

what is moved up slope x or y intercept and can you explain how to work

Answer 3

Well, every point of the function will be moved up by 4, but the slope won't change.

Answer 4

y intercept moved up

Answer 5

here are my options a) the slope increases b) the slope decreases c) the x intercept increases d) the y intercept increases

Answer 6

Well, let's go through it.

If you have a line y=mx+b, and you change the b, does the slope (m) change?

Answer 7

no

Answer 8

So a and b aren't the answer, right?

Now, where is the x-intercept of\[y=\frac{x}{2}-3\]?

Answer 9

2?

Answer 10

No.

Solve\[0=\frac{x}{2}-3\]for x.

Answer 11

6

Answer 12

Right!

Answer 13

So now what is the x-intercept of\[y=\frac{x}{2}+1\]?

Answer 14

-2

Answer 15

Right!

So the x-intercept doesn't increase, it instead decreases.

And, as we said earlier, the y-intercept does increase.

So what is the answer?

Answer 16

the y intercept increases

Answer 17

:)

Answer 18

thank you

Answer 19

You're welcome.