To identify:The parent function and the transformation shown in the graph and write an equation for the function represented by the graph.
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Answer to Problem 33E
The parent function of the functionrepresented by the given graph is
Explanation of Solution
Given information:
The given function is shown in Figure-1.
Concept used:
A parent function is the simplest function of a family of functions represents the definition (or shape) of the family of functions. For example, the family of quadratic functions has the general form
Identification:
The shape of given graph (Figure-1) appears of thetype of thegraph of function
Thus, the parent function of the given graph is
If we shift the graph of function
The equation of function obtained by shifting the graph of function
Hence, the equation the transformed function say
The graphs functions
Thus, the parent function of the function whose graph is shown in given figure (Figure-1) is
Conclusion:
The parent function of the functionrepresented by the given graph is
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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- Find the slope of the tangent line to the graph of the function at the given point. m = 8 f(x) = 7x at (1,3) Determine an equation of the tangent line. y = Need Help? Read It Watch Itarrow_forwardFind the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 5 at (-1, 9) m Determine an equation of the tangent line. y = Need Help? Read It Watch It SUBMIT ANSWERarrow_forwardFind the slope of the tangent line to the graph of the function at the given point. f(x) = 5x-4x² at (-1, -9) m Determine an equation of the tangent line. y = Need Help? Read It Master It SUBMIT ANSWERarrow_forward
- For what value of A and B the function f(x) will be continuous everywhere for the given definition?..arrow_forward2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.006.MI. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 7y2 y² 11 dy Need Help? Read It Master It SUBMIT ANSWER 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.009. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) tan³(12/z) dz Need Help? Read It Watch It SUBMIT ANSWER 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.014. Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sinб12x dx Need Help? Read Itarrow_forwardPlease refer belowarrow_forward
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