2016­2­19 graph in vertex form.notebook
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2/19
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HOMEWORK QUESTIONS??????
February 19, 2016
2016­2­19 graph in vertex form.notebook
February 19, 2016
Lesson 8: Graphing Quadratic Equations from the
Vertex Form, y = a(x - h)2 + k
Student Outcomes
To graph simple quadratic equations of the form
y = a(x - h)2 + k (completed square or vertex form)
To understand the relationship between leading coefficient
of a quadratic function and its concavity and slope
When graphing a quadratic equation in
VERTEX FORM:
2
y = a(x - h) + k
(h, k) are the coordinates of the vertex.
2016­2­19 graph in vertex form.notebook
February 19, 2016
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?
2016­2­19 graph in vertex form.notebook
February 19, 2016
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:
y = (x + 3)2 ­ 3
2016­2­19 graph in vertex form.notebook
Graph the following:
y = (x - 1)2 + 3
Graph the following:
y = -2(x - 1)2 + 2
February 19, 2016
2016­2­19 graph in vertex form.notebook
Re­write by completing the square, than
graph the following:
y = ­x2 + 2x + 1
February 19, 2016