Quadratic Transformations in Vertex Form

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

• Compress 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

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

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

• shrink

• stretch

• reflection, compression

• reflection, shrink

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

In vertex form, what effect does the h have on the graph?

• Translates Up/Down

• Translates Left/Right

• Narrows/Widens Parabola

• Flips it

What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then horizontally shifting left 3 units?

• f(x)= 2(x-3)²

• f(x)= 2(x+3)²

• f(x)= 2x²+3

• f(x)= (x-2)²+3

In the vertex form f(x) = a(x - h)² + k , what does the 'h ' value do?

• Shifts the function left or right

• Reflection over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

• -2

• -6

• 2

• 6

• 0

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

• 5

• -2

• -5

• 2

• 0