Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

Question: 1 / 400

What is the x-intercept of the quadratic equation y = x² - 4?

x = -2, 2

To identify the x-intercept of the quadratic equation \( y = x^2 - 4 \), you need to set \( y \) equal to zero and solve for \( x \). The x-intercepts occur where the graph of the equation intersects the x-axis, which corresponds to the points where \( y = 0 \).

Setting the equation to zero gives:

\[

0 = x^2 - 4

\]

This can be rearranged to find the roots:

\[

x^2 = 4

\]

Taking the square root of both sides leads to two potential solutions:

\[

x = \pm 2

\]

This means that the x-intercepts are at \( x = 2 \) and \( x = -2 \). Therefore, the x-intercepts correctly identified are expressed as \( x = -2 \) and \( x = 2 \).

This matches the choice given, confirming that the values are correct. In this context, the solution accurately captures the points where the graph crosses the x-axis, representing the specific roots of the quadratic equation, validating the answer provided.

Get further explanation with Examzify DeepDiveBeta

x = -4, 4

x = 0, 4

x = 2, -2

Next Question

Report this question

Download Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success! PDF Study Guide
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy