when a function f(x) is streched verically by a factor a , it become af(x) .
when a function translate down by a factor c , then it becomes f(x)-c
here f(x)=x2 -7
when it strech by a factor 2 , it becomes y=2x2-7 .
then on traslating by a factor 5 , it becomes 2x2-7-5= 2x2- 12
so answer is
C) y= 2x2 -12
consider Which function is the result of vertically stretching f(x) = x2 - 7 by a...
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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...
Question 12 (5 points) Consider the function f(x) = x2. Which of the following functions shifts f(x) downward 5 units and to the right 3 units? OA A) f(x) = (x + 3)2 - 5 B) f(x) = (x - 3)2 - 5 C) f(x) = (x - 5)2 + 3 OD) f(x) = (x - 5)2 - 3
15 f(x) = 2* Which transformation is needed to graph the function f(x) = 15 2* x2 Choose the correct answer below. O A. The graph of y = x should be horizontally stretched by a factor of 15 2 OB. The graph of y = x should be vertically stretched by a factor of 15 2. OC. The graph of y = x should be horizontally compressed by a factor of 15 2 OD. The graph of y=x* should...
Select the correct answer. What is the inverse of function f? 3 – I 7 OA. -1(x) = 3 – 7x OB. +(x) = 3 - OC -1(1) = ? OD. 7-1(x) = 74 – 3 7+ I 3 3 Select the correct answer. Find the inverse of function f. f(x) = 12 +7 IN A f(x) = 2x + 3 OB. F'(x) = 2x - 7 OC. (n) = 2x – 14 OD. F'(x) = r - 7 Type...
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....
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VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
3. Consider the function f(x) = x2 - 6x^2 - 5 a. Find the values of x such that f'(x) = 0. b. Use the results of part a to: find interval(s) on which the function is increasing and interval(s) on which it is decreasing. c. Find the value(s) of x such that f"(x)=0. d. Use the result of part c to find interval(s) on which f(x) is concave up and interval(s) on which it is concave down. e. Sketch...
Consider the following function. f(x) = 1 +7/x -8/x2
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...
Question 12 1 pts Let f(x, y) = 2x – y + x2 + y4. Which (unit) direction vector u MINIMIZES the directional derivative Duf, at the point (0,0)? ANG 1 B)(- 2 V5 C) < tai D) (1, 2) OC B OA D