Families of Graphs

Presentation

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Mathematics

•

12th Grade

•

Medium

•

CCSS

HSF.BF.B.3, HSA.CED.A.2, HSA.REI.D.10

Standards-aligned

CHRISTOPHER CAVIN

Used 5+ times

FREE Resource

13 Slides • 5 Questions

Families of Graphs

3-2

Multiple Choice

Which equation below is a quadratic function translated up 5 units?

y = x² + 5

y = (x + 5)²

y = 5x²

y = -x² - 5

Multiple Choice

Which parent function matches the graph?

y = |x|

y = ∛(x)

y = x²

y = a⋅b^x

Multiple Choice

Match the equation to its description.

Right 2 and up 2

Left 2 and up 2

Right 2 and down 2

Left 2 and down 2

Multiple Choice

g(x)=f(x)+6
Describe the transformation to f(x) that results in g(x).

f(x) has been translated up 6.

f(x) has been translated down 6.

f(x) has been translated to the right 6

f(x) has been translated to the left 6

Multiple Choice

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

f(x) has been translated down 4.

f(x) has been translated up 4.

f(x) has been translated 4 units the left

f(x) has been translated 4 units to the right

Remember, when you shift a function:

If you add or subtract outside the parentheses, such as f(x)=x and f(x) = x + 8, or f(x) = x² and f(x) = x² - 3, you shift up or down from the parent function.
If you add or subtract inside the parentheses, such as f(x) = x² and f(x) = (x+3)², you shift left or right opposite of the sign. In this example, you'd shift left 3 units.
If you multiply the function, you make stretch or compress.

Families of Graphs

3-2

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