The effect of a Complete the value of the following equation given the value of x then graph the equations in one Cartesian plane. In sketching the graph, use pencil with different colors to identify each equation. Then answer the question that follow. y=x² y = 2x² y x=-3 Post your graph here = x = -2 x=-1 9:0 Now compare the following for each equation Equations y=x² y = 2x² X=0 Opening of the graph x = 1 x = 2 x = 3 Width of the graph
The effect of a Complete the value of the following equation given the value of x then graph the equations in one Cartesian plane. In sketching the graph, use pencil with different colors to identify each equation. Then answer the question that follow. y=x² y = 2x² y x=-3 Post your graph here = x = -2 x=-1 9:0 Now compare the following for each equation Equations y=x² y = 2x² X=0 Opening of the graph x = 1 x = 2 x = 3 Width of the graph
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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can someone answer this in complete answer with graph, asap. thank you so much
Transcribed Image Text:The effect of a
Given: y = a(x-h)² + k
1. If a>0, the parabola opens upward and the minimum value of f(x) = k
2. If a<0, the parabola opens downward and the maximum value of f(x) = k
3. If lal> 1, the graph of y = ax² will be narrower than the graph of y = x²
4. If jal <1, the graph of y= ax² will be wider than the graph of y = x²
y=x²
y = 2x²
Complete the value of the following equation given the value of x then graph the
equations in one Cartesian plane. In sketching the graph, use pencil with different
colors to identify each equation. Then answer the question that follow.
x = 1
x=-3
:
x²
y=
Post your graph here
Chapter 2
QUADRATIC FUNCTIONS
Opening of the graph, Horizontal and Vertical Shift
x=-2
2
ACTIVITY 1
The effect of a
x = -1
Now compare the following for each equation
Equations
y=x²
y = 2x²
x=0
Opening of the graph
x=2
x=3
Width of the graph
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