Parabola Reflected Across the X Axis

Describe the transformation of the graph y = - ½(x + 4)⁴- 1

• Left 4 and Down 1

• Reflected x-axis, Down 1, Left 4, Shrink by 1/2

• Reflected x-axis, Down 1, Left 4, Stretch by 1/2

• Reflected x-axis, Up 1, Right 4, Shrink by 1/2

Tags

CCSS.HSF.BF.B.3

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

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Tags

CCSS.HSF-IF.C.7A

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x and left 4

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

Compared to the parent function, the parabola represented by the equation y = -(x - 4)² is...

• reflected across the x-axis and translated left 4 units

• reflected across the y-axis and translated left 4 units

• reflected across the x-axis and translated right 4 units

• reflected across the y-axis and translated right 4 units

Compared to the parent function, the parabola represented by the equation y = -(x + 3)² is...

• reflected across the x-axis and translated left 3 units

• reflected across the y-axis and translated left 3 units

• reflected across the x-axis and translated right 3 units

• reflected across the y-axis and translated right 3 units

What are ALL the transformations from the parent function x² for the equation: -(x-1)²+4?

• * Left 1 unit

  * Up 4 units

  * Reflected across x-axis

• * Right 1 unit

  * Up 4 units

  * Reflected across x-axis

• * Right 1 unit

  * Down 4 units

  * Reflected across x-axis

• * Right 4 units

  * Down 1 unit

  * Reflected across x-axis

Does this graph open up or down?

• up

• down

Tags

CCSS.HSF-IF.C.7A