U5 L1: Quadratic Functions and Transformations

5. The graph below models the path of a golf ball after it was hit. Write an equation in vertex form that represents the path of the ball.

A. y=-3/50(x-50)^2+150

3. Identify the vertex and the axis of symmetry of the graph of the function y=3(x+2)^2-3

B. vertex: (-2,-3); axis of symmetry: x=-2

1. What is the graph of the function? f(x)=2x^2

Graph A.

2. Graph the function. How is the graph a translation of f(x)=x^2? y=(x-1)^2 + 3

Graph D. translated up 3 unit(s) and translated to the right 1 unit(s)

6. Suppose a parabola has vertex (5,-3) and also passes through the point (6,1). Write the equation of the parabola in vertex form.

y=4(x-5)^2-3

4. Identify the maximum or minimum value and the domain and range of the graph of the function y=2(x-3)^2-4.

A. minimum value: -4 domain: all real numbers range: all real numbers => -4