SOLUTION: From nycmathguy
Find any intercepts and test
for symmetry. Then sketch the graph of the equation.
1. y = 1 − ∣x∣
2. x = y^2 − 5
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-> SOLUTION: From nycmathguy
Find any intercepts and test
for symmetry. Then sketch the graph of the equation.
1. y = 1 − ∣x∣
2. x = y^2 − 5
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Find any intercepts and test
for symmetry. Then sketch the graph of the equation.
1.
x-intercepts: => or
y-intercepts:
Replace x with (-x). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the y-axis.
since , the graph is symmetrical about the y-axis
2.
x-intercepts:
y-intercepts: or ->exact answer
approximate answer:
or
Replace y with -y in the equation =>
Since replacing y with -y gives the same equation, is symmetric with respect to the x-axis.