Question

Find the vertex and the x​- and y​-intercepts of the equation

y=x^2-4
Then, use the points to graph the parabola.

a) What is the vertex of the parabola? Enter your answer as an ordered pair.

​b) Identify the x​-intercept(s) of the parabola. Enter your answers as ordered pairs. Use a comma to separate answers as needed. If there are none, enter None.

​c) Identify the y​-intercept of the parabola. Enter your answer as an ordered pair.

d) Use the points you found to graph the parabola.

Answer 1

Explanation:

Easiest way to solve this one is to use a graphing calculator or an online graphing calculator (there are many free ones). Plug in the function y = x² - 4

a) vertex: (0, -4)

b) x-intercepts: (-2, 0), (2, 0)

c) y-intercept: (0, -4)

To graph the function using the tool shown in your screenshot, drag the vertex down to the point (0, -4). Then drag the x-intercepts to (-2, 0) on the left and (2, 0) on the right. The given parabolic function opens up.