9.6: Vertex Form Transformations

• 1
• -4
• -3
• -1
• 4
• 3
• 0

What do the a, h, and k valaues tell you about the parabola tranformation?

• Stretch or compressess the parabola. Can also reflect the parabola if it is negative

• k

• - shift up or down

  - the y value of the vertex

• a

• - shift left or right

  - the x value of the vertex

• h

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

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

What transformation occurred to y = x² to y = (x - 5)² - 3?

• The graph translated right 5 units and down 3 units
• The graph translated right 3 units and down 5 units
• The graph translated left 5 units and down 3 units
• The graph translated left 3 units and up 5 units

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

Write the equation of a parabola that has shifted 4 units to the right, 5 units down, and has flipped over the x-axis.

• y = - (x - 5)² + 4

• y = - (x - 4)² - 5

• y = - (x + 4)² - 5

• y = - (x + 5)² + 4

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

• Shifts the function left or right

• Changing 'a' value has no affect on the parent function

• Vertical stretch or compression

• Shifts the function up or down

What causes the graph of y = x² to become more narrow?

• 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