2017­3­13 vertex form 8.4.notebook
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3/13
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­Graphing in Vertex Form WS
March 13, 2017
2017­3­13 vertex form 8.4.notebook
March 13, 2017
2017­3­13 vertex form 8.4.notebook
March 13, 2017
Today's Objective: Graphing Quadratic Equations from the
2
Vertex Form, y = a(x - h) + k
2017­3­13 vertex form 8.4.notebook
March 13, 2017
Sketch the graphs of the functions in the same coordinate plane. How does the value of h affect the graph of
y = a(x − h)2?
a. f(x) = x2 and g(x) = (x − 2)2 b. f(x) = x2 and g(x) = (x + 2)2
Graph g(x) = (x + 2)2 ­ 3. Compare the graph to the graph of f(x) = x2.
2017­3­13 vertex form 8.4.notebook
March 13, 2017
When graphing a quadratic equation in
VERTEX FORM:
2
y = a(x - h) + k
(h, k) are the coordinates of the vertex.
2017­3­13 vertex form 8.4.notebook
March 13, 2017
Exercises 1-2
1. Without graphing, state the vertex of each
of the following equations.
a. y = (x - 5)2 + 3
VERTEX
b. y = x2 - 2.5
VERTEX
c. y = (x + 4)2
VERTEX
2. Write a quadratic equation whose graph
will have the given vertex.
a. (1.9, -4)
b. (0, 100)
c. (-2, 3 )
2
Are these the only quadratic equations
with these vertices?
2017­3­13 vertex form 8.4.notebook
March 13, 2017
To graph a quadratic in vertex form
1. Identify the vertex
2. Plot the vertex
3. Find the y-intercept
4. Plot the y-intercept
5. Find a third point by reflecting the y-intercept over the
axis of symmetry
Graph the following:
2
y = (x + 3) - 3
2017­3­13 vertex form 8.4.notebook
Graph the following:
y = (x - 1)2 + 3
Graph the following:
y = -2(x - 1)2 + 2
March 13, 2017
2017­3­13 vertex form 8.4.notebook
March 13, 2017