Question

2. If the parent function is y= 4*, which is the function of the graph?

Answer 1

A function assigns the values. The function of the given graph is y=3(4)ˣ, thus, the correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is:

If the parent function is y = 4ˣ, which is the function of the graph?

y = −2(4)ˣ

y = −3(4)ˣ

y = 3(4)ˣ

y = 2(4)ˣ

Since the graph intersect the y-axis at 3, and the parent function of the function is y=4ˣ, therefore, we can write,

y = A(4)ˣ

3 = A(4)⁰

3 = A × 1

A = 3

Hence, the function of the given graph is y=3(4)ˣ, thus, the correct option is C.

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