Transformational Graphing

Which equation is shown on the graph?

• y = (x - 4)² - 2
• y = (x + 4)² - 2
• y = (x + 2)² - 4
• y = (x - 2)² + 4

Tags

CCSS.HSF-IF.C.7A

This graph shows the parent quadratic function. After a translation of 1 unit up and 3 units left, which is the equation of the translated function?

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x - 3)² - 1

• y = (x + 3)² + 1

This graph shows the parent quadratic function.  After a translation of 2 units down and 4 units left, which is the equation of the translated function?

• y = (x - 2)² - 4
• y = (x - 4)² - 2
• y = (x + 4)² - 2
• y = (x + 4)² + 2

The function y = - (x - 2)² can be graphed using the parent function y = x² followed by which transformations?

• translate 2 to the right and reflect across the x-axis
• translate 2 to the right and reflect across the y-axis
• translate 2 to the left and reflect across the x-axis
• translate 2 to the left and reflect across the y-axis

Which equation represents a parent function y = x² translated 4 units to the right and 1 unit up?

• y = (x + 4)² + 1
• y = (x - 4)² + 1
• y = (x + 1)² + 4
• y = (x - 1)² + 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.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

Tags

CCSS.HSF.BF.B.3

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph best represents the function

 $f\left(x\right)\ =\ 3\left(x-2\right)^2+1$  ?

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What is the equation for the graph?

• $f\left(x\right)=\left(x+2\right)^2-4$

• $f\left(x\right)=\left(x-2\right)^2-4$

• $f\left(x\right)=\left(x-4\right)^2+2$

• $f\left(x\right)=\left(x+4\right)^2-2$