
15 f(x) = 2* Which transformation is needed to graph the function f(x) = 15 2*...
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Which function is the result of vertically stretching f(x) = x2 by a factor of 2 and translating it 4 units upward? O A) y= 2x² - 4 B) y = 2x2 + 4 C) y = -4x2 + 2 D) y = 4x2 + 2 Which function is the result of vertically stretching f(x) = x2 - 7 by a factor of 2 an translating it downward 5 units? OA) A) y = x² - 12 B) y...
Directions: Using the graph of each function, identify the parent function, then write an equation for the function under each transformation. 11. a) Parent Function: b) Translate 4 units down and 3 units left c) Vertically stretch by a factor of 2, then translate 5 units left: 12 a) Parent Function: b) Translate 3 units up and 8 units right: c) Horizontally compress by a factor of %, then reflect in the y-axis a) Parent Function: 13. b) Horizontally stretch...
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The function defined by f(x) = x4 + 4x3 - 16x2 - 64x has the graph, as shown. 200- X Use the graph to factor the polynomial. 7 -200 What is the factored form of the polynomial? f(x) = (Simplify your answer. Type your answer in factored form.) Graph the polynomial function f(x) = 2x3 X° + 1. Then answer parts a and b. Choose the correct graph below. O A. OB O c. OD У AY...
please help me solve the shrink, shrunk or stretched
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Ay The graph involves a reflection in the x-axis and/or a vertical stretch or shrink of a basic function. Identify the basic function, and describe the transformation verbally. Write an equation for the given graph. х -5 lui- Identify the basic function. o B. v OD. X A. x C. X2 O EX OF. x3 Describe the transformation. O A. The graph is reflected about the X-axis and vertically shrunk...
4. Below is the graph of a transformed function of f(x) = x a. List the transformations (like shifted right 10, vertically stretched by a factor of 7, etc.) needed to transform f(x) into the graph below. b. Write the function for the graph below. g(x) =
(1 point) (a) The graph of y = (4x)2 + 10 is the graph of y = x² + 10 scaled horizontally choose the scaling factor and scaled vertically choose the scaling factor (b) The graph of y = 2x2 + 20 is the graph of y = x2 + 10 scaled horizontally choose the scaling factor and scaled vertically choose the scaling factor (c) The graph of y = 42x)” +42x)2 is the graph of y = x3 +...
How can the graph of f(x) = - 5x² + 2 be obtained from the graph of y=x?? O A. Stretch it vertically by a factor of 5, reflect it across the y-axis, and shift it 2 units upward. B. Stretch it horizontally by a factor of -5, reflect it across the x-axis, and shift it 2 units downward. O C. Stretch it vertically by a factor of 5, reflect it across the x-axis, and shift it 2 units upward....
Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines. f(x)=4x4 -32x2 Compute the derivative of f(x). f'(x)= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing Select the correct choice...
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Which function is the result of vertically stretching f(x) = x2 - 7 by a factor of 2 an translating it downward 5 units? OA) A) y = x² - 12 B) y = 2x2 - 5 OC) y = 2x2 - 12 OD) y = 2x2 - 2
f(x)= The domain of the piecewise function is (-00,00) a. Graph the function b. Use your graph to determine the function's range, a. Choose the correct graph below. ОА. OB x+1 if x<-4 x-1 if x2 - 4 ос. OD 10 Q Q