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Which of the following choices correctly relates the shape and identifies the name of the parent function of the given equation?(1 point)

Responses

The equation f(x)=8x−−√−3.5 is a cube root function and has a graph that is half of a sideways parabola.
The equation f left parenthesis x right parenthesis equals 8 Start Root x End Root minus 3.5 is a cube root function and has a graph that is half of a sideways parabola.

The equation f(x)=1.4|x−1| is an absolute value function and has a V-shaped graph.
The equation f left parenthesis x right parenthesis equals 1.4 Start Absolute Value x minus 1 End Absolute Value is an absolute value function and has a V-shaped graph.

The equation f(x)=−3x2−9 is a quadratic function and has a vertical S-shaped graph.
The equation f left parenthesis x right parenthesis equals negative 3 x squared minus 9 is a quadratic function and has a vertical S-shaped graph.

The equation f(x)=4tanx+1 is a tangent function and has a graph consisting of waves that go up and down at regular intervals.

9 answers

The equation f(x)=4tanx+1 is a tangent function and has a graph consisting of waves that go up and down at regular intervals.
y=7.2x−15
y equals 7.2 x minus 15

y=7(x+3.5)12
y equals 7 left parenthesis x plus 3.5 right parenthesis superscript Start Fraction 1 over 2 End Fraction baseline

y=1.2(2)x−8
y equals 1.2 left parenthesis 2 right parenthesis superscript x baseline minus 8

y=2(x+1.5)2−55
The equation y=2(x+1.5)^2-55 is a quadratic function and has a vertical U-shaped graph.
Which statement accurately analyzes a key feature of a logarithmic parent function?(1 point)
Responses

The logarithmic parent function has a limited domain.
The logarithmic parent function has a limited domain.

The logarithmic parent function is an even function.
The logarithmic parent function is an even function.

The logarithmic parent function has only one y-intercept.
The logarithmic parent function has only one y -intercept.

The logarithmic parent function can have multiple x-intercepts.
The logarithmic parent function can have multiple x-intercepts.
Analyze the following functions. Which function has relative extrema?(1 point)
Responses

f(x)=50x−−−√
f left parenthesis x right parenthesis equals Start Root 50 x End Root

f(x)=sin(x−3)+5
f left parenthesis x right parenthesis equals sine left parenthesis x minus 3 right parenthesis plus 5

f(x)=4x−6.7
f left parenthesis x right parenthesis equals 4 x minus 6.7

f(x)=1.4tan(x+2)
f left parenthesis x right parenthesis equals 1.4 tangent left parenthesis x plus 2 right parenthesis
The function f(x)=sin(x-3)+5 has relative extrema.
Compare the parent functions in the following answer choices. Which parent function is periodic and has an intercept at (0,1) ?(1 point)
Responses

y=10x
y equals 10 superscipt x baseline

y=sinx
y equals sine x

y=tanx
y equals tangent x

y=cosx
The parent function y=sinx is periodic and has an intercept at (0,1).