SOLUTION: The graph of f(x) = x^2 is reflected in the x axis, vertically stretched by a factor of 2, shifted four units to the left, and shifted two units down.
Algebra ->
Graphs
-> SOLUTION: The graph of f(x) = x^2 is reflected in the x axis, vertically stretched by a factor of 2, shifted four units to the left, and shifted two units down.
Log On
Question 937684: The graph of f(x) = x^2 is reflected in the x axis, vertically stretched by a factor of 2, shifted four units to the left, and shifted two units down. Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! f(x) = x^2
---
reflected in the x axis:
f(x) = -(x^2)
---
vertically stretched by a factor of 2:
f(x) = 2*(x^2)
---
shifted four units to the left:
f(x) = (x + 4)^2
---
shifted two units down:
f(x) = (x^2) - 2
---
all together now:
f(x) = (-2*((x + 4)^2) - 2
---
graphing:
red = original function
green = transformed function
---
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
