Question

determine whether the graph of the equation is symmetric with respect to the y - axis, the x - axis, the origin, more than one of these, or none of these.
y = 4x + 7
select all that apply.
□ x - axis
□ y - axis
□ origin
□ none of these

Explanation:

Step1: Test x-axis symmetry

Replace $y$ with $-y$:
$-y = 4x + 7$ → $y = -4x -7$, which is not equivalent to original $y=4x+7$.

Step2: Test y-axis symmetry

Replace $x$ with $-x$:
$y = 4(-x) +7$ → $y = -4x +7$, which is not equivalent to original $y=4x+7$.

Step3: Test origin symmetry

Replace $x$ with $-x$ and $y$ with $-y$:
$-y = 4(-x) +7$ → $-y = -4x +7$ → $y = 4x -7$, which is not equivalent to original $y=4x+7$.

Answer:

none of these