SOLUTION: If the graph of the quadratic function h is shifted vertically 4 units downward, then reflected in the x-axis, and then shifted horizontally 3 units to the left, the resulting grap

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If the graph of the quadratic function h is shifted vertically 4 units downward, then reflected in the x-axis, and then shifted horizontally 3 units to the left, the resulting grap      Log On


   

Question 580432: If the graph of the quadratic function h is shifted vertically 4 units downward, then reflected in the x-axis, and then shifted horizontally 3 units to the left, the resulting graph is the parabola f(x) = x^2. What is the rule of the function h?
h(x)= _____________
What is the vertex of its graph?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-%28+h%28x%29+-+4+%29+=+f%28x%29+
+h%28x%29+-+4+=+-f%28x%29+
+h%28x%29+=+-f%28x%29+%2B+4+
+h%28x%29+=+-x%5E2+%2B+4+
Here's a plot of +h%28x%29+, +h%28x%29+-+4+, +-%28+h%28x%29+-+4+%29+
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+-x%5E2+%2B+4%2C+-x%5E2%2C+x%5E2+%29+