Question

Which of the following describes the graph of mc024-1.jpg compared to the parent square root function? stretched by a factor of 2, reflected over the x-axis, and translated 9 units right stretched by a factor of 2, reflected over the x-axis, and translated 9 units left stretched by a factor of 2, reflected over the y-axis, and translated 9 units right stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Answer 1

B and D on EDGE

Explanation:

Shows exponential decay

The graph shows y = 2x reflected over the y-axis.

Answer 2

Given the function:

`√(-4x-36)`

The function can be simplified as follows:

`√(-4x-36)= √(4(-x-9)) =2 √(-x-9)`

From the simplified function, we can see that to the original square root funtions, minus was added in front of x and 9 was subtracted from -x and 2 was multiplied to the entire function.

Adding minus to x in the square root functon will refrect the graph of the function across the y-axis.

Subtraction of 9 from the -x will translate (shift) the graph of the function 9 units to the left.

While, multiplying the function by 2 will vertically stretch the graph of the function be a factor of 2.

Therefore, the graph of
`√(x)` was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function
`√(-4x-36)`.