Graphing Absolute Value Functions Explained

y = 1/x

y = x

y = |x|

y = x^2

A parabola

A straight line

A circle

A V shape

The slope of the right ray

The x-coordinate of the vertex

The y-coordinate of the vertex

The y-intercept

By finding the y-intercept

By using the quadratic formula

By looking at the coefficient in front of the absolute value

By calculating the distance between two points

It remains the same

It opens upside down

It opens to the right

It opens to the left

It becomes wider

It becomes narrower

It becomes a straight line

It remains the same

By adding a positive constant to the function

By subtracting a constant from the function

By making the coefficient of the absolute value negative

By shifting the graph to the right

It changes the x-coordinate of the vertex

It changes the y-coordinate of the vertex

It changes the shape of the V

It changes the slope of the right ray

By adding 2 inside the absolute value

By subtracting 2 outside the absolute value

By subtracting 2 inside the absolute value

By adding 2 outside the absolute value

(2, 3)

(-2, -3)

(2, -3)

(-2, 3)