2. Remember to LOOK at which FORM you are given: Vertex Form: y = a(x − h)² + k Gives you your vertex (h,k) 1. What are the values for a, h and k and describe the transformation: a) y = 5(x - 5)² + 7 a: QUADRATICS 1- ASSESSMENT h: k: transformation: transformation: transformation: What is the axis of symmetry for: y = 3(x - 5)² +6 3. What is the vertex for: y = -3(x - 5)² - 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.
Remember to LOOK at which FORM you are given:
Vertex Form: y = a(x − h)² + k
Gives you your vertex (h,k)
1. What are the values for a, h and k and describe the transformation:
a) y = 5(x - 5)² + 7
a:
QUADRATICS 1- ASSESSMENT
h:
k:
transformation:
transformation:
transformation:
What is the axis of symmetry for:
y = 3(x - 5)² +6
3. What is the vertex for:
y = -3(x - 5)² - 8
Transcribed Image Text:2. Remember to LOOK at which FORM you are given: Vertex Form: y = a(x − h)² + k Gives you your vertex (h,k) 1. What are the values for a, h and k and describe the transformation: a) y = 5(x - 5)² + 7 a: QUADRATICS 1- ASSESSMENT h: k: transformation: transformation: transformation: What is the axis of symmetry for: y = 3(x - 5)² +6 3. What is the vertex for: y = -3(x - 5)² - 8
4. Fill in the chart below.
Equation
Vertex
Axis of Symmetry
Optimal Value
Step Pattern
Direction of
opening
Max/Min?
y = -2(x + 5)² - 4
5. For the following parabola:
a) The zeros are
b) The coordinates of the vertex are
c) The axis of symmetry is
d) The optimal value is
-5
-3
-2
-1
-3-
-2
-34
--4+
1
Transcribed Image Text:4. Fill in the chart below. Equation Vertex Axis of Symmetry Optimal Value Step Pattern Direction of opening Max/Min? y = -2(x + 5)² - 4 5. For the following parabola: a) The zeros are b) The coordinates of the vertex are c) The axis of symmetry is d) The optimal value is -5 -3 -2 -1 -3- -2 -34 --4+ 1
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