Question

Which of the following describes the graph of y--4x-38 compared to the parent square root function?

O stretched by a factor of 2, reflected over the x-axis, and translated 9 units right
O stretched by a factor of 2, reflected over the x-axis, and translated 9 units left
O stretched by a factor of 2, reflected over the y-axis, and translated 9 units right
O stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Answer 1

answer is (a) stretched by a factor of 2, reflected over the x-axis, and translated 9 units right.

Explanation:

Answer 2

There is no square root function mentioned to compare with, but assuming you meant the parent square root function y = sqrt(x), the correct answer is:

A.) "stretched by a factor of 2, reflected over the x-axis, and translated 9 units right"

To see this, note that the equation y = 4x + 38 can be rewritten as y - 38 = 4(x - (-9.5)). This means that the graph of y = 4x + 38 is a transformation of the parent function y = sqrt(x) as follows:

• It is stretched vertically by a factor of 2 (since the coefficient of x is 4 instead of 1)
• It is reflected over the x-axis (since the coefficient of x is positive)
• It is translated 9 units to the right (since the vertex is at (-9.5, -38) instead of (0, 0))
  

So the correct answer is (a) stretched by a factor of 2, reflected over the x-axis, and translated 9 units right.