15 f(x) = 2* Which transformation is needed to graph the function f(x) = 15 2*...
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...
consider 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...
1. 2. 3. 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 question 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...
consider 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
please answe a and b 6. The graph y-f(x) is translated 4 units up, 3 units right and vertically stretched about the x-axis by a factor of 1/3 and horizontally stretched about the y-axis by a factor of 1/2. a) Following the appropriate order of transformations, using graph paper, re-draw the original function and then draw the graph of the new function. (upload your answer to motivis). b) Following the appropriate order of transformations, write the equation of the new...