Download Algebra 2 Quadratics: Standard Form and Vertex Form Review

Algebra 2
Quadratics: Standard Form and Vertex Form Review
Part One: Standard Form of a Quadratic Function
Quarter 2
#1:
The graph of
The graph of f(x) opens upward or downward:
The axis of symmetry:
The vertex:
The y-intercept:
The symmetric point to the y-intercept:
The maximum/minimum value:
Graph of the function:
#2:
Graph the function
The graph of g(x) opens upward or downward:
The axis of symmetry:
The vertex:
The y-intercept:
The symmetric point to the y-intercept:
The maximum/minimum value:
Graph of the function:
.
Algebra 2
Quadratics: Standard Form and Vertex Form Review
Quarter 2
#3: A model for a company’s revenue is
15
300
12,000, where p is the price in dollars of the
company’s product. What price will maximize the revenue? What is the maximum revenue?
0.03
35,where
#4: The equation for the cost in dollars of producing automobile tires is
0.000015
x is the number of tires produced. Find the number of tires that minimizes the cost. What is the cost for
that number of tires?
#5: A quadratic function passes through the points (-2,-100), (0,-84), and (3,0). Write the equation of the
particular equation described. Then state the vertex, axis of symmetry, y-intercept, and symmetric point
to the y-intercept of the given function. Sketch the function.
Algebra 2
Quadratics: Standard Form and Vertex Form Review
Part Two: Vertex Form of a Quadratic Function
#6:
The graph of f(x) opens upward or downward:
The axis of symmetry:
The vertex:
The y-intercept:
The symmetric point to the y-intercept:
The maximum/minimum value:
Graph of the function:
#7: Write the quadratic function that has a vertex of (-3,6) and passes through the point (1,-2).
#8: Write the quadratic function that has a vertex of ( -1, -4) and y-intercept of 3.
Quarter 2
Algebra 2
Quadratics: Standard Form and Vertex Form Review
Part Three: Converting Between Form of Quadratic Functions
.
#9: Rewrite each function in standard form
a.
3
2
4
b.
2
3
1
#10: Rewrite each function in vertex form by completing the square
a.
c.
8
4
24
3
20
Quarter 2
b.
d.
.
5
6
6
12
4