Question

question 13
what type of function has the parent equation \\(y = x^2\\)?

• no answer text provided.
• linear
• exponential
• quadratic

question 14
using the equation \\(f(x) = ab^{x-h} + k\\), what does the \\(h\\) control?

• vertical shift
• horizontal shift
• no answer text provided.
• reflection

Explanation:

Identify the parent function type

Using the Parent Functions knowledge point

$$ y = x^2 $$

This equation represents a quadratic function, as the independent variable \(x\) is raised to the power of \(2\).

Analyze the transformation parameter h

We examine the standard transformed exponential equation:

$$ f(x) = ab^{x-h} + k $$

In function transformations, subtracting a constant \(h\) from the input variable \(x\) (inside the exponent) shifts the graph horizontally. Specifically, \(h\) controls the horizontal shift (left or right).

Answer:

Question 13

• (A) No answer text provided.
• (B) Linear
• (C) Exponential
• (D) Quadratic (Correct answer)

Question 14

• (A) Vertical Shift
• (B) Horizontal Shift (Correct answer)
• (C) No answer text provided.
• (D) Reflection