Forms Of Quadratic Functions Worksheet
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1
2
3Forms of Quadratic Functions
Standard Form
Factored Form
Vertex Form
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2
y = ax + bx + c
y = (x + a)(x + b)
y = a(x - h) + k
OR
OR
OR
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2
f(x) = ax + bx + c
f(x) = (x - a)(x - b)
f(x) = a(x - h) + k
This form allows you to
This form shows you the
This form shows the
quickly see the y-intercept.
x-intercepts.
coordinates of the vertex.
Y-int: (0, c)
X-ints: (a, 0), (b, 0)
Vertex: (h, k)
2
Use this function for problems 1 - 10: y = (x - 2) - 1
1) Give the coordinates of the vertex of the graph.
2) Convert the function to standard form.
4) Convert the function to factored form.
3) Give the coordinates of the y-intercept.
5) Give the coordinates of the x-intercepts.
6) Graph the function labeling the vertex, y-intercept, and x-intercepts.
7) Enter the function on your calculator in vertex form and graph it. How does it compare to your graph?
8) Enter the function on your calculator in standard form and graph it. How does it compare to your graph?
9) Enter the function on your calculator in factored form and graph it. How does it compare to your graph?
10) Use your calculator to find the vertex, x-intercepts, and y-intercept. Do they match yours?
Give the vertex of each function, and graph it. How does vertex form compare to the other forms in each
problem?
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11) y = (x - 3) - 2
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12) y = (x + 4)
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13) y = x + 3
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14) y = -x - 3
Convert each function to standard form. Give the vertex and y-intercept. Graph. Check your work on the calc.
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2
2
2
15) y = (x + 4) - 5
16) f(x) = (x - 2) + 3
17) y = (x - 1) + 4
18) f(x) = (x + 3) - 1
Convert each function to factored form. Give the x and y intercepts. Graph. Show the line of symmetry.
2
2
2
2
19) y = x - 4x - 5
20) y = x + 6x
21) f(x) = x + 2x - 8
22) y = x - 6x - 7
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