What causes the graph of y = x 2 to open downward?

multiply the x 2 by a negative number

multiply the x 2 by a number greater than 1

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

Vertical stretch or compression

Shifts the function left or right

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

What causes the graph of y = x 2 to become more narrow?

multiply the x 2 by a number greater than 1

multiply the x 2 by a negative number

Describe the transformation below: $$-\left(x+3\right)^2+6$$

reflect over the x-axis, left: 3, up: 6

Describe the transformation below: $$-3\left(x+4\right)^2-1$$

reflect over the x-axis, stretch by 3, left: 4, down: 1

stretch by 3, right: 4, down: 1

reflect over the x-axis, right: 4, down: 1

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

becoming wider or vertically compressed

becoming narrower or vertically stretched

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

Shifts the function left or right

Vertical stretch or compression

9.6: Vertex Form Transformations Quiz

9.6: Vertex Form Transformations

Authored by William Polascak

Mathematics

9th - 12th Grade

Used 3+ times

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15 questions

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DRAG AND DROP QUESTION

1 min • 1 pt

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$
a= (a)
h= (b)
k= (c)

-4

-3

-1

MATCH QUESTION

1 min • 1 pt

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

- shift up or down

- the y value of the vertex

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

- shift left or right

- the x value of the vertex

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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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9.6: Vertex Form Transformations

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$
a= (a)
h= (b)
k= (c)

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

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

What steps transform the graph y = x² to y = x² + 8

What steps transform the graph y = x² to y = (x-4)²

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

What causes the graph of y = x² to open downward?

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

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

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

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9.6: Vertex Form Transformations

Identify the a, h, and k terms in the following equation: (x+4)2−3\left(x+4\right)^2-3(x+4)2−3 a= ​ (a) h= ​ (b) k= ​ (c)

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

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

What steps transform the graph y = x2 to y = x2 + 8

What steps transform the graph y = x2 to y = (x-4)2

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

What causes the graph of y = x2 to open downward?

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

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

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$
a= (a)
h= (b)
k= (c)

What steps transform the graph y = x² to y = x² + 8

What steps transform the graph y = x² to y = (x-4)²

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

What causes the graph of y = x² to open downward?

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