moving 8 units to the left:
f(x)=(x+8)2
nine units upward:
f(x)=(x+8)2+9
reflected about the x axis:
f(x)(-1)=[(x+8)2+9](-1)
so f(x)(-1)=-9-(x+8)2
Write an equation for the function whose graph is described. The shape of f(x) = x2, but shifted four units to the right and eight units down
Write an equation for a function whose graph fits the given diescription. The graph of f(x) = x is shifed three units left and reflected about the x-axis.
The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. TU What is the basic function? O A. Cube function mix) = x OB. Absolute value function gix)=x| OC. Square root function nix) = x OD. Cube root function p(x) = x O E. Identity function f(x)= x OF Square...
Given the function f(x) = -2x? +12x - 5, describe the transformations compared to the parent function y = x2. A. f(x) is shifted 3 right, up 13 and then reflected over the x-axis. B. f(x) is shifted 3 left, down 13 and then reflected over the x-axis. C. f(x) is shifted 3 right, down 13 and then reflected over the x-axis. D. f(x) is shifted 3 left, up 13 and then reflected over the x-axis.
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...
Write the equation of a graph that has the shape y=x^3 but has been reflected over the x axis and shifted to the left by two units
Help! Write the equation of the function that has a graph the shape of , vertically shrunk by a factor of 1/4 and shifted right 6 units. Write the equation of the function that has a graph the shape of y = ДаxДа, reflected about the x-axis and shifted down 1 unit.
(3) (3 points each) Given the parent function f(x) = 1, write down the function whose graph satisfies the given description in each case: (a) The graph of f shifted 0.8 units up and 3 units to the right. (b) The graph of f shifted 2 units to the left and then reflected through the x-axis.
so what would be the equation y=-/×+.5/ please help me understand why this is a shrink 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...
Question 16 Given that f(x)= - 3x2 - 6x + 2. Determine the vertex. Question 17 x²+2 Given that log3(x2 + 2) - log3(x + 4) = 1. What numerical value is equal to? ( You are not asked to solve the equation.) X + 4 Question 18 f(x) = log x is reflected over the x-axis, translated to the left 2 units, then stretched away from the X-axis by a factor of 3. What does it become?