Question

Asked Oct 10, 2019

Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the *y*-axis. (Select all that apply.)

y = 4x− 7

y = −x + 4

y = −4x^{2}

y = 7x^{2} − 9

x = 1/5y^{2}

x = −y^{2} + 3

y = −1/3x^{3}

y = x^{3} − 8

y = square root of( 2) − 9

Step 1

As per our policy I am going to solve 1^{st} three question and for the reaming question post the question again separately.

We know that,

Test for symmetry about the y-axis:

1^{st} Step: Replace x with (-x).

2^{nd} Step: Simplify the equation then if the resulting equation is equivalent to the original equation, then the graph is symmetrical about the y-axis

Step 2

Question 1

y = 4x – 7

Now replacing x by -x, we get

y = 4(– x) – 7 = – 4x – 7

Since, the resulting equation is not equivalent to the original equation then the graph is not symmetrical about the y-axis.

Step 3

Question 2

y = -x + 4

Now replacing x by -x, we get

y = - (-x) + 4 = x + 4

Since, the resulting equation is not...

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