A vertical line through the point 23 has equation x2 Which i

A vertical line through the point (-2,3) has equation x=-2?

Which is true about the graph of x=3+|y|?

-a. graph of a function

-b. symmetric with respect to the orgin

-c. symmetric with respect to the x-axis

-d. symmetric with respect to the y-axis

Solution

A vertical line through the point (-2,3) has equation x= -2. The statement is true as the equation of a vertical line is x = c where c is a constant. Here, the given verical line passes through the point ( -2, 3). Therefore, on substituting x = -2 in the equation , we get c = -2. Therefore, a vertical line through the point (-2,3) has equation x= -2.

The graph of x = 3+|y| is symmetric about the X -Axis. ( when y = a or y = -a, the value of x remains the same i.e 3 + IaI . Hence the points (  3 + IaI , a) and ( 3 + IaI , -a) are on the graph of the function x = 3 + IyI. Hence it is symmetric about the X-Axis)