Graphing Parent Functions Quiz

What is the first step in graphing a parent function using the toolkit?

• Determine the stretch factor

• Draw the asymptotes

• Identify the parent function

• Plot the locator point

In the equation y = √(x - 1) + 5, what is the new starting point after shifting?

• (0, 0)

• (1, 5)

• (5, 1)

• (1, 0)

How do you determine the stretch factor when graphing a function?

• By multiplying the y-values by the a value

• By adding the x-values

• By dividing the y-values by the a value

• By subtracting the x-values

What is the horizontal asymptote for the function y = 2^x - 3?

• y = 0

• y = -3

• y = 2

• y = 3

For the function y = 2^x - 3, what is the domain?

• x > 0

• x < 0

• All real numbers

• x ≠ 0

In the function y = 1/(x + 3) + 2, where do the asymptotes intersect?

• (-3, 2)

• (-3, -2)

• (3, -2)

• (0, 0)

What is the range of the function y = 1/(x + 3) + 2?

• y < 2

• y > 2

• All real numbers

• All real numbers except y = 2

When reverse engineering a graph to an equation, what does a negative orientation indicate?

• The graph is compressed

• The graph is shifted up

• The graph is flipped

• The graph is stretched

In reverse engineering, what is the significance of the point where the graph flattens out?

• It indicates the stretch factor

• It determines the range

• It shows the domain

• It is the locator point (h, k)

What is the equation form for a cubic function after determining shifts?

• y = a(x - h)^2 + k

• y = a(x - h)^3 + k

• y = a(x + h)^2 - k

• y = a(x + h)^3 - k