Unformatted text preview: expand the graph away from the xaxis by a factor of 5 and translate the entire new graph
20 units to the left and 21 units down.
d) Given the graph of y = x2, reflect the graph in the xaxis and compress the graph towards the xaxis by a factor of ⅛
and translate the entire new graph 5.6 units to the right and 13.8 units up.
y 2. a) b) y c) y 8 d) y 10 8
10 6 8 6
8 4 6 4
6 2 4 2
4 0 2 4 6 2 x −2 vertex: (3,9)
axis of symmetry: x = 3
opens downward
maximum value of 9
domain: {x x ∈ }
range: {y y ≤ 9, y∈ }
xintercepts: (0,0), (6,0)
yintercept: (0,0) −2 2
−8 −6 −4 −2 0 2 4 x −2 x vertex: (−4,1)
axis of symmetry: x = −4
opens upward
minimum value of 1
domain: {x x ∈ }
range: {y y ≥ 1, y∈ }
no xintercepts
yintercept: (0,5) 0 −2 0 2 4 x vertex: (1,12)
axis of symmetry: x = 1
opens downward
maximum value of 12
domain: {x x ∈ }
range: {y y ≤ 12, y∈ }
xintercepts: (−1,0), (3,0)
yintercept: (0,9) vertex: (2,−2)
axis of symmetry: x = 2
opens upward
minimum value of −2
domain: {x x ∈ }
range: {y y ≥ −2, y∈ }
xintercepts: (0,0), (4,0)
yintercept: (0,0) 3. a) For the function f(x) = 5(x − 15)2 − 100, p = 15 and q = −100. The vertex is located at (p,q)...
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This document was uploaded on 02/16/2014 for the course MATH PreCalcul at Holy Cross Regional High School.
 Fall '11
 Aytona
 Calculus, PreCalculus, Polynomials

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