Question

PLEASEEE HELPP
How to find the parent function from and equation

Answer 1

Explanation below

Explanation:

f(x) = 2(x+4)

h(x) = (x+4)²

Both functions are transformations of the parent function f(x) = x².

f(x) = 2(x+4)

This function is a vertical stretch of the parent function by a factor of 2. It is also shifted 4 units to the left.

h(x) = (x+4)²

This function is a horizontal compression of the parent function by a factor of 1/2. It is also shifted 4 units to the left.

Here are some additional observations about the two functions:

The domain and range of both functions are all real numbers.

f(x) is an even function, meaning that f(-x) = f(x).

h(x) is not an even function.

f(x) is a linear function, meaning that its graph is a straight line.

h(x) is a quadratic function, meaning that its graph is a parabola.