For each table, identify the parent function that corresponds to the new function given. Then graph by hand both the parent function and new function on the grids provided. Finally, identify any reflections, shifts, stretches, shrinks, even or odd or neither behavior. Be specific about the shifts (be sure to include the term vertical or horizontal when applicable). If the graph does not contain one of these changes, write none in the box provided. Parent function New function: g(x) = -2√x f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = √-x f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) =|x|-4 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = (1/2 x )^3 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) =|-(x-2)| f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = x2 - 6 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = |x + 3| + 1 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = 3√-x+4 -2 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = (x - 2)3 + 4 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = x2 + 6 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Recall how to identify – both graphically and algebraically – the three types of symmetry discussed. Symmetric with respect to the y-axis (even) Symmetric with respect to the origin (odd) Symmetric with respect to the x-axis Which one of the above symmetries can never apply to a function? Explain.

For each table, identify the parent function that corresponds to the new function given. Then graph by hand both the parent function and new function on the grids provided. Finally, identify any reflections, shifts, stretches, shrinks, even or odd or neither behavior. Be specific about the shifts (be sure to include the term vertical or horizontal when applicable). If the graph does not contain one of these changes, write none in the box provided. Parent function New function: g(x) = -2√x f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = √-x f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) =|x|-4 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = (1/2 x )^3 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) =|-(x-2)| f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = x2 - 6 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = |x + 3| + 1 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = 3√-x+4 -2 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = (x - 2)3 + 4 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Parent function New function: g(x) = x2 + 6 f(x) = Reflections: Shifts (Vertical / Horizontal): Stretches / Shrinks: Even, Odd, or Neither: Recall how to identify – both graphically and algebraically – the three types of symmetry discussed. Symmetric with respect to the y-axis (even) Symmetric with respect to the origin (odd) Symmetric with respect to the x-axis Which one of the above symmetries can never apply to a function? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section3.8: Absolute Value Functions

Problem 36PPS

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Related questions

Question

Parent function	New function: g(x) = -2√x
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = √-x
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) =\|x\|-4
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = (1/2 x )^3
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) =\|-(x-2)\|
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = x² - 6
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = \|x + 3\| + 1
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = 3√-x+4 -2
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = (x - 2)³ + 4
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Parent function	New function: g(x) = x² + 6
f(x) =	Reflections:
Shifts (Vertical / Horizontal):
Stretches / Shrinks:
Even, Odd, or Neither:

Recall how to identify – both graphically and algebraically – the three types of symmetry discussed.

Symmetric with respect to the y-axis (even)

Symmetric with respect to the origin (odd)

Symmetric with respect to the x-axis

Which one of the above symmetries can never apply to a function? Explain.

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A function f(x) is said to be even if $f (- x) = f (x)$

A function f(x) is said to be odd if $f (- x) = - f (x)$

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