Identifying and Graphing Quadratic Transformations

What is the parent function of a quadratic?

• y = x + 2

• y = x^2

• y = x^3

• y = 2x

What effect does multiplying a quadratic function by a number greater than 1 have?

• Reflect

• Stretch

• Shrink

• No change

What does a negative multiplier cause in a quadratic graph?

• Horizontal shift

• Stretch

• Reflection

• Vertical shift

What happens to a quadratic graph when you add a positive number to the function?

• Shifts up

• Shifts down

• Shifts left

• Shifts right

How does subtracting a number from a quadratic function affect its graph?

• Shifts up

• Shifts down

• Reflects across the x-axis

• No change

What does a positive 'h' value in a quadratic function indicate about the graph's shift?

• Shifts right

• Shifts up

• Shifts down

• Shifts left

If 'h' is negative in a quadratic function, in which direction does the graph shift?

• Left

• Down

• Right

• Up

Combining a stretch and a vertical shift up, what is the first step in graphing the function?

• Identify and plot the vertex

• Apply the vertical shift

• Apply the stretch

• Plot all points from the table

In a combined transformation, if the function includes x minus 2 squared, where is the vertex located?

• At (0,-2)

• At (2,0)

• At (0,2)

• At (-2,0)

What is the result of applying a shrink by a factor of one-half to a quadratic function?

• Graph stretches vertically

• Graph shrinks vertically

• Graph shifts to the right

• Graph shifts to the left