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WILL MARK BRAINLEST AND GIVE 98 POINTS

1. Use the graph of the parent function, f(x)=√x, to describe the transformation for the graph of g(x)=√x-5
A: The graph of g(x) is the graph of f(x) shifted up 5 units
B: The graph of g(x) is the graph of f(x) shifted down 5 units*
C: The graph of g(x) is the graph of f(x) shifted right 5 units
D: The graph of g(x) is the graph of f(x) shifted left 5 units

3. Which function features a reflection in the x-axis compared to its corresponding parent function f(x)= 1/x^2
A: q(x)= x^2
B: r(x)= -x^2*
C: s(x)= -1/x^2
D: t(x)= 1/(-x^2)

4. Which function is a horizontal compression of its parent function f(x)= x^7 by a factor of 4.
A: q(x)=(1/4 x)^7*
B: r(x)= (4x)^7
C: s(x)= 4x^7
D: t(x)= 1/4x^7

Respuesta :

wegnerkolmp2741o

1.   The parent graph is f(x) = sqrt(x).  The new function is g(x) = sqrt(x-5).  This is in the form f(x-b) which shifts the function b units to the right. This shifts the function 5 units to the right. C: The graph of g(x) is the graph of f(x) shifted right 5 units*

3.  F(x) = 1/ x^2  We want to reflect the function over the x axis, which means we want - f(x) or -1/x^2   C:s(x)= -1/x^2

4.  If the coefficient is >1, the figure is compressed in the horizontal direction.  We want it compressed by a factor of 4, so the coefficient will be 4.  For the y direction, the coefficient is inside the function.  B: q(x)=(4 x)^7*

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