Write an equation for the function whose graph is described. The shape of f(x) = x2,...

Question

Question

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

math algebra

Answer 1

Answer #1

f(x) = x^2

shifted 4 units to the right and 8 units down

4 units to the right we subtract 4 inside the function

8 units down , we subtract 8 outside the function

so, new function becomes

g(x) = ( x - 4)^2 - 8

Answer 2

Similar Homework Help Questions

5. Sketch the function that has a graph the shape of s(x) = x2, with a...

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:
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

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...

(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.

Write an equation for a function whose graph fits the given diescription. The graph of f(x)...

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.
4. Write the equation of a natural log graph whose domain is (-0, -2) and has...

4. Write the equation of a natural log graph whose domain is (-0, -2) and has been shifted 3 units up. 5. Check to see if the following functions are inverses; f(x) = 79 - x2 and g(x) = 79 - x? 6. Determine the domain of the following function: f(x) =
Write an equation for a function that has a graph with the given characteristics The shape...

Write an equation for a function that has a graph with the given characteristics The shape of y = x is vertically stretched by a factor of 6.5. This graph is then reflected across the x-adis. Finally, the graph is shifted 0.18 units downward. O A fx) 6.5x -0.181 OB. x)=-6.5]x -0.18 O c. x) = 6.51 - x -0.18 OD. x) = 8.5]x -0.18 Click to select your answer

Write the? slope-intercept equation of the function f whose graph satisifies the given conditions. The graph...

Write the? slope-intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through left parenthesis negative 6 comma 4 right parenthesis(?6,4) and is perpendicular to the line that has an? x-intercept of 11 and a? y-intercept of negative 3?3. The equation of the function is nothing. ?(Use integers or fractions for any numbers in the? equation.)
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find...

(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...
Write the slope-intercept equation of the function f whose graph satisifies the given conditions The graph...

Write the slope-intercept equation of the function f whose graph satisifies the given conditions The graph of f passes through(-12,8) and is perpendicular to the line that has an x-intercept of 5 and a y-intercept of 15 The equation of the function is ork lan (Use integers or fractions for any numbers in the equation.) ook

Write the equation of the graph after the indicated transformation(s), The graph of y = x2...

Write the equation of the graph after the indicated transformation(s), The graph of y = x2 is shifted 2 units to the left. This graph is then vertically stretched by a factor of 6 and reflected across the x-axis. Finally, the graph is shifted 8 units downward. y=-6(x - 2)2 +8 . y=-6(x+3)2 - 2 y=-6(x - 2)2.8 CSI y=+*+?canned with CamScanner