Advanced Algebra 2 Name:
ALT03: Quadratic Functions and Parabolas
Review Worksheet
1. Consider the quadratic equation y = (x 2)(x +5).
• Write the equation in Standard Form: • y Intercept:
• Write the equation in Vertex Form: • Vertex:
• Write the equation in Factored Form: • Real x Int er cept s:
• Interval Of Increase: • Interval Of Decrease:
• Relative Minimum: • Relative Maximum:
• Axis Of Symmetry:
• Use the above information to sketch a graph.
x
y
5 510 10
Quadratic Functions and Parabolas: Review Worksheet – Page 1 of 4
2. Consider the quadratic equation y = 2x
2
4x +48.
• Write the equation in Standard Form: • y Intercept:
• Write the equation in Vertex Form: • Vertex:
• Write the equation in Factored Form: • Real x Int er cept s:
• Interval Of Increase: • Interval Of Decrease:
• Relative Minimum: • Relative Maximum:
• Axis Of Symmetry:
• Use the above information to sketch a graph.
x
y
5 510 10
Quadratic Functions and Parabolas: Review Worksheet – Page 2 of 4
3. Consider the quadratic equation y = (x 3)
2
25.
• Write the equation in Standard Form: • y Intercept:
• Write the equation in Vertex Form: • Vertex:
• Write the equation in Factored Form: • Real x Int er cept s:
• Interval Of Increase: • Interval Of Decrease:
• Relative Minimum: • Relative Maximum:
• Axis Of Symmetry:
• Use the above information to sketch a graph.
x
y
5 510 10
Quadratic Functions and Parabolas: Review Worksheet – Page 3 of 4
4. Jack Potts dives o↵ the high divi n g board. His distance from the surface of the water varies quadrat-
ically with the number of seconds that have passed since he left the board, according to the equation
d = 5t
2
+9t +30,
where d Jack’s height above the water and t represents the number of seconds since Jack left the
diving b oard.
(a) How high is the diving board?
(b) What is the highest Jack gets above the water? (Answer to t h e nearest hundredth of a meter.)
(c) When does Jack hit the wa te r? (Answer to th e nearest tenth of a second . )
Quadratic Functions and Parabolas: Review Worksheet – Page 4 of 4
