1 Sketch the parent quadratic, y=x², and the graph of y=g(x) on the same axes. Then write down the coordinates of the vertex and the equation of the axis of symmetry for the graph of g. a g(x) = (x+3)² b g(x)=x²+4 c_g(x)=x² d g(x)=2(x-4)²-3 2 Describe the transformations of the graph of f(x)=x² that lead to the graph of g. Then write an equation for g(x). -6 -5 -4 -3 -2 -3 -2 -1 6 5 3 2 - O 2 3 4 5 6
1 Sketch the parent quadratic, y=x², and the graph of y=g(x) on the same axes. Then write down the coordinates of the vertex and the equation of the axis of symmetry for the graph of g. a g(x) = (x+3)² b g(x)=x²+4 c_g(x)=x² d g(x)=2(x-4)²-3 2 Describe the transformations of the graph of f(x)=x² that lead to the graph of g. Then write an equation for g(x). -6 -5 -4 -3 -2 -3 -2 -1 6 5 3 2 - O 2 3 4 5 6
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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Transcribed Image Text:1 Sketch the parent quadratic, y=x², and the
graph of y=g(x) on the same axes. Then
write down the coordinates of the vertex
and the equation of the axis of symmetry
for the graph of g.
a g(x) = (x+3)² b g(x)=x²+4
c_g(x)=x²
2 Describe the transformations of the graph
of f(x)=x² that lead to the graph of g. Then
write an equation for g(x).
6
-6 -5 -4 -3 -2
-3 -2 -1
5
3
2
1
d g(x)=2(x-4)²-3
lo
23 4 56
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