Question

y = 1/3 |x| -2

Answer 1

Wonderful

Answer 2

\[
y=\frac 13 |x|-2
\]

Answer 3

Okay, first set x=0 and see what the value is. Then set x=1 and see what the value is. Look for those points on the graph.

Answer 4

Alternatively, learn about function transformations.
If \(g(x) = |x|\) then \( f(x) = \frac 13 g(x) - 2\)

Answer 5

is A the correct answer?

Answer 6

Explain why you think it is A first.

Answer 7

because it is in (0,-2)

Answer 8

Good. But did you try \(x=1\)?

Answer 9

Actually, try \(x=3\), because it will work out more easily

Answer 10

is it B.???

Answer 11

@wio

Answer 12

\(|x|\) looks like this:

So multiplying it by 1/3 should just compress it by scale of 1/3, right?

Answer 13

So based on this, we are left with C and D.

Answer 14

What happen if you subtract \(\dfrac{1}{3}|x|\) by 2?

Answer 15

is it D.?

Answer 16

Yep since this function contains \((0, -2)\)

makes sense?

Answer 17

yes, thanks : )