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(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
+5 is shifted left units, stretched vertically by a factor of 8, reflected about the x-axis, and then shifted downward 5 units. What is the equation of the new The graph of X) - function, gx)? g) - X State the y-intercept of gix).
5. Sketch the function that has a graph the shape of s(x) = x2, with a horizontal shrink by a factor of and shifted up two units. Write the equation of the function. State the domain of the transformed function in interval notation. Five Centered Coordinates of Basic Function LX f(x) Equation: Domain:
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.
Question 2 (10 points) The graph of g(x) = f(x + 2) - 1 is the graph of f(x) shifted Oright 2 units and up 1 unit. Oright 2 units and down 1 unit. left 2 units and down 1 unit. left 2 units and up 1 unit.
a. graph f(x)=2x^2-3x+4 by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept and x-intercept b. determine the domain and the range c. determine function is increasing or decreasing
When the graph of y=2^x is reflected in the x-axis, and then translated 5 units left and 1 unit down, the equation representing the new graph is:a) y=2^(-x+5)-1b) y=2^(x+5)-1c) y=2^(x-5)+1d) y=2^(x+5)-1
43 In Problem 42, given (a,b) point on the graph of each that of y=f(x) shifted to the of y=f(x+2) is (a – 2,b). Ancu Ven (a, b) is a point on the graph of y = f(x), find the corresponding graph of each new equation. For example, the graph of y=f(x+2) is y=f(x) shifted to the left two units. So the corresponding point on the graph ( 1 ) 26). f. (-a,b+3),
Suppose the graph of y xis shifted to the left 4 units. What is the equation that gives the new graph? The equation that gives the new graph is y =
How does the graph of g(x) = (x + 5)2 – 9 compare to the parent function f(x) = x3? g(x) is shifted 5 units to the left and 9 units down. g(x) is shifted 9 units to the left and 5 units down. g(x) is shifted 5 units to the right and 9 units down. g(x) is shifted 9 units to the left and 5 units up.