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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Question 1182489: 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
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Helping with #1 only.
Two cases occur.
Either x is negative, or x is nonnegative.
Either: -----------------when
Or: ------------when
You can continue from that.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
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.
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