Quadratics Transformations Vertex

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• shrink by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• shrink by 5, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, stretch

• reflection, shrink

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, stretch

• reflection, shrink

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x² g(x)= (x+2)² − 3

• Moved 3 to the right and 2 up

• Moved 2 to the left and 3 down

• Stretched by a factor of 3 and moved 2 to the left

• Compressed (shrunk) by a factor of 2 and moved 3 down

• F

• G

• H

• J