Translations & Reflections Quiz

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Test translations and reflections of functions.

Created by

harold david guerrero de la cruz

Colombia

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Froggy Jumps Translations & Reflections QuizOnline version Test translations and reflections of functions. by harold david guerrero de la cruz 1 What does y = f(x-3) do to the graph of y=f(x)? a Shifts up by 3 units b Shifts left by 3 units c Shifts right by 3 units 2 What transformation does y = f(x) + 5 apply? a Shifts up by 5 units b Shifts left by 5 units c Shifts down by 5 units 3 Which transformation is a reflection across the x-axis? a y = f(-x) b y = -f(x) c f(x) 4 Which transformation is a reflection across the y-axis? a y = -f(x) b y = f(-x) c y = f(x) 5 Reflection across the line y = x corresponds to what? a y = -f(x) b Inverse function: y = f^{-1}(x) c y = f(-x) 6 If y = f(x) shifts right h and up k, which is the equation? a y = f(x) - (h + k) b y - k = f(x - h) c y + k = f(x + h) 7 Which transformation is a reflection across the y-axis? (Alternate phrasing) a y = -f(x) b y = f(x) c y = f(-x) 8 Horizontal shift left 2 units corresponds to which equation? a y = f(x - 2) b y = f(x + 2) c y = f(-x) 9 Which statement is true for a reflection across y = x? a It yields the negative function b It yields a horizontal shift c It yields the inverse function 10 Shift right 4 and down 1 gives which equation? a y - 1 = f(x + 4) b y = f(x) - 4 c y + 1 = f(x - 4)

Froggy Jumps

Translations & Reflections QuizOnline version

Test translations and reflections of functions.

by harold david guerrero de la cruz

What does y = f(x-3) do to the graph of y=f(x)?

Shifts up by 3 units

Shifts left by 3 units

Shifts right by 3 units

What transformation does y = f(x) + 5 apply?

Shifts up by 5 units

Shifts left by 5 units

Shifts down by 5 units

Which transformation is a reflection across the x-axis?

y = f(-x)

y = -f(x)

f(x)

Which transformation is a reflection across the y-axis?

y = -f(x)

y = f(-x)

y = f(x)

Reflection across the line y = x corresponds to what?

y = -f(x)

Inverse function: y = f^{-1}(x)

y = f(-x)

If y = f(x) shifts right h and up k, which is the equation?

y = f(x) - (h + k)

y - k = f(x - h)

y + k = f(x + h)

Which transformation is a reflection across the y-axis? (Alternate phrasing)

y = -f(x)

y = f(x)

y = f(-x)

Horizontal shift left 2 units corresponds to which equation?

y = f(x - 2)

y = f(x + 2)

y = f(-x)

Which statement is true for a reflection across y = x?

It yields the negative function

It yields a horizontal shift

It yields the inverse function

Shift right 4 and down 1 gives which equation?

y - 1 = f(x + 4)

y = f(x) - 4

y + 1 = f(x - 4)

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Translations & Reflections Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Translations & Reflections QuizOnline version

by harold david guerrero de la cruz

What does y = f(x-3) do to the graph of y=f(x)?

What transformation does y = f(x) + 5 apply?

Which transformation is a reflection across the x-axis?

Which transformation is a reflection across the y-axis?

Reflection across the line y = x corresponds to what?

If y = f(x) shifts right h and up k, which is the equation?

Which transformation is a reflection across the y-axis? (Alternate phrasing)

Horizontal shift left 2 units corresponds to which equation?

Which statement is true for a reflection across y = x?

Shift right 4 and down 1 gives which equation?

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