Graphing Quadratic Equations Stretch and Compress

Compared to the parent function, what effect does the 5 have in f(x)=5(x+3)²?

• Vertical Stretch

• Vertical Compression

Which of the following describes the transformations done to the quadratic parent function of f(x) = x²  to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

•  Vertical Shrink/Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

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

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Which of the following equations matches vertex form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

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

• 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

Write the equation of the new function in vertex form.

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

Which of the following graphs correctly represents:

y=x²

y=-2x+1

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CCSS.HSA.REI.C.7