Question

Which is the absolute value function corresponding to the graph with these characteristics?

Vertex is at (-2, k)
V-shaped graph
Opens in the downward direction
Coefficient a is 4
Left arm passes through point (-1, -3)

Answer 1

@marissalovescats

Answer 2

Do you have choices?

Answer 3

y = 4|x − 2|

y = 4|x − 2| + 3

y = -4|x + 2| + 3

y = -4|x + 2| − 3

Answer 4

@marissalovescats

Answer 5

Well if the vertex has -2 in it we can cross out the first 2

Answer 6

Okay.

Answer 7

is it C?

Answer 8

wait no, D.

Answer 9

And since K is positive it has to be +3

So yes C

Answer 10

Vertex point (-2, k)

a = -4
(negative because if open downwards).

y = a |x - h| + k
y = -4 |x - (-2) | + k
y = -4 | x + 2 | + k

Left arm passes through point (-3,-1)

-1 = -4 | -3 + 2 | + k
-1 = -4 | -1 | + k
-1 = -4 + k
3 = k

Vertex point (-2,k) - (-2,3)

a = -4
(negative because opening downwards)

y = -4 |x + 2| + 3
So, the answer is C.