Solving Quadratics Transformations

Solve for x. Round to the nearest hundredth if necessary.

2x² = -x + 3

• x = -1 and x = 1.5

• x = 1.5 and x = -1

• x = 1 and x = 1.5

• x = -1.5 and x = 1

Tags

CCSS.HSA-REI.B.4B

Solve Using the Quadratic Formula

x² + 4x - 40 = -8

• x = -10 and x = -4

• x = -4 and x = 10

• x = -8 and x = 4

• x = 8 and x = -4

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula.

2x² - 9x - 35 = 0

• x = 7/2 and x = -6

• x = -5/2 and x =5

• x = -3/7 and x =6

• x = -5/2 and x = 7

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve: n² = 9n - 20

• n = 4 and n = -5

• n = -4 and n = 5

• n = -4 and n = -5

• n = 4 and n = 5

Tags

CCSS.HSA-REI.B.4B

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

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

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 transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4