SOLUTION: Write the function whose graph is the graph of y=x^2, but is shifted to the right 5 units.

Algebra ->  Equations -> SOLUTION: Write the function whose graph is the graph of y=x^2, but is shifted to the right 5 units.       Log On


   

Question 1170359: Write the function whose graph is the graph of y=x^2, but is shifted to the right 5 units.
Answer by MathLover1(20849) About Me  (Show Source):
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The standard form of a quadratic function presents the function in the form
f%28x%29=a%28x-h%29%5E2%2Bk
where (h,+k) is the vertex.
If k%3E0, the graph shifts upward, whereas if k%3C0, the graph shifts downward.
The standard form is useful for determining how the graph is transformed from the graph of y=x%5E2. The figure below is the graph of this basic function.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%29+

You can represent a horizontal (left, right) shift of the graph of f%28x%29=x%5E2 by adding or subtracting a constant,+h, to the variable x, before squaring.
f%28x%29=%28x-h%29%5E2
If h%3E0, the graph shifts toward the right and if+h%3C0, the graph shifts to the left.

if given the function whose graph is the graph of y=x%5E2, but is shifted to the right 5 units, means h=5 and function will be
y=%28x-5%29%5E2

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+%28x-5%29%5E2%29+