SOLUTION: The graph of y = x^2 is stretched vertically by a factor of 3, stretched horizontally by a factor of 5, and translated horizontally to the left by 12. Determine the equation that r
Algebra.Com
Question 1175361: The graph of y = x^2 is stretched vertically by a factor of 3, stretched horizontally by a factor of 5, and translated horizontally to the left by 12. Determine the equation that results from these transformations.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Original graph: y = x^2
Stretch vertically by a factor of 3: the y value gets multiplied by 3: y = 3x^2
Stretch horizontally by a factor of 5: to get a horizontal stretch of 5, the x value has to be DIVIDED by 5: y = 3(x/5)^2
Translated left 12: replace "x" with "x+12": y = 3((x+12)/5)^2
ANSWER: The final equation is
y = 3((x+12)/5)^2
RELATED QUESTIONS
The graph of the relation y-x^2 = 1/2x+y is stretched vertically by a factor of 4 and... (answered by ChillyWiz)
what transformation change the graph of (x) to the graph(g) f(x)=-7x^2 g(x)=-35x^3+5... (answered by MathLover1)
The graph of y=cos(x) is vertically stretched by a factor of 8, shifted a distance of 5... (answered by stanbon)
Write the function whose graph of y=x^3, but is vertically stretched by a factor of... (answered by MathLover1)
whats the equation for f(x)=x^2 is vertically stretched by a factor of 9 and translated 2 (answered by stanbon)
Consider the function f(x) = x^5 + 8x^2. Determine the number of zeros of the function... (answered by Boreal)
The graph of {{{y=sqrt(x)}}} is stretched horizontally by a factor of 2, reflected across (answered by MathLover1)
The graph of y=square root of x is stretched by a factor of 2, reflected over x- axis... (answered by ikleyn)
6. Given f(x) = x2 –3x + 108, what is the transformation of f(3x)?
a. The function is... (answered by greenestamps)