Day 88 Quadratics Vertex Form.notebook
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Aim: How do we graph quadratics in vertex form?
Do Now: Look over test, finish pg. 15
Hw: Pgs. 20­21
Get Tests Signed, if needed
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
5) Graph f(x) = x2 ­ 4 and g(x) = f(x + 3).
Describe the transformation of f(x) to g(x). ________________________________
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Write an equation for g(x) in terms of x.
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
6) Graph f(x) = x2 + 2x and g(x) = f(x – 6).
Describe the transformation of f(x) to g(x).
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Write an equation for g(x) in terms of x.
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
f(x)
g(x)
Shifted down 8 units
g(x) = x2 + 5 ­ 8
g(x) = x2 ­ 3
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
f(x)
g(x)
The function shifted 5 units left
g(x) = (x + 5)2 ­ 3
Day 88 Quadratics Vertex Form.notebook
x = ­1
February 27, 2017
x = ­1/2
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
(1, 3)
min
x = 1
no roots
x < 1
x > 1
y ≥ 3
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
f(x) = a(x – h)2 + k
The vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a ≠ 0. The graph of f(x) = a(x – h)2 + k is a translation h units horizontally and k units vertically of the graph of f(x) = ax2.
Day 88 Quadratics Vertex Form.notebook
1) Graph the function g(x) = 2(x + 5)2
What are the coordinates of the vertex?
Compare the graph to the graph of f(x) = x2.
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February 27, 2017
Day 88 Quadratics Vertex Form.notebook
2) Graph the function h(x) = ­(x – 2)2 + 2
What are the coordinates of the vertex?
Compare the graph to the graph of f(x) = x2.
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February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
Day 88 Quadratics Vertex Form.notebook
February 27, 2017
4) Rewrite each quadratic function in vertex form. Use your graphing calculator to check your answer.
a) y = 2x2 – 8x + 4
b) y = 3x2 + 6x – 1 c) f(x) = ­5x2 + 10x + 3
d) f(x) = ­x2 – 4x + 2 Day 88 Quadratics Vertex Form.notebook
5) Graph f(x).
f(x) = 2(x – 1)2 – 1
Use what you know about transformations to graph g(x).
g(x) = f(x + 3)
February 27, 2017