Transformations in Graphing Quadratic Equations

What are the transformations?y=(x - 2)² + 4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

How did we transform from the parent function?

• reflection, vertical shrink, horizontal right, vertical up

• vertical shrink, horizontal shift left, vertical shift up

• reflection, horizontal shift right, vertical shift down

• no changes were made to y = x²

Which of the following does NOT contain a horizontal translation RIGHT of y = x²?

• y = 2(x - 5)² + 3

• y = -2(x + 5)² - 3

• y = (3x - 2)² + 5

• y = -3(x - 2)² - 5

Ava, Aiden, and Maya are studying the graph of a quadratic function. They are trying to understand the vertex form of a quadratic function. What does the k term tell them?

• It tells them the direction of the graph is up.

• It tells them the direction of the graph is down.

• It tells them whether the graph goes up or down, and the y-value in the vertex.

• It doesn't tell them anything.

Name the transformation when compared to the parent function: f(x) = x² and g(x) = 2.5x²

• shrink

• stretch

• reflection

• reflection and stretch

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

Which transformation will occur if f(x) = x² is replaced with x² + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with 2x²?

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

f(x)=-4x²

• Up and skinnier

• Up and wider

• Down and skinnier

• Down and wider

Which variable, when negative, can cause the parent function to reflect across the x-axis (face downwards)?

• a

• h

• k