"Quadratic functions have Answer 1 Question 16, or x𝑥-intercepts, in any other case where the function crosses the x𝑥-axis at two separate points.
Question
Quadratic functions have Answer 1 Question 16, or x-intercepts, in any other case where the function crosses the x-axis at two separate points.
Solution
Quadratic functions can have two x-intercepts. This happens when the function crosses the x-axis at two separate points. Here are the steps to find the x-intercepts of a quadratic function:
-
Write down the quadratic function in standard form. The standard form of a quadratic function is y = ax^2 + bx + c.
-
Set y equal to zero. The x-intercepts are the values of x where y is zero.
-
Solve the resulting equation for x. This can be done by factoring, completing the square, or using the quadratic formula. The solutions to this equation are the x-intercepts of the function.
-
If the equation has no real solutions, then the function does not have any x-intercepts. If the equation has one real solution, then the function has one x-intercept. If the equation has two real solutions, then the function has two x-intercepts.
Similar Questions
Which of the following points represents the x-intercepts of the quadratic equation y = x2 + 9x?
Which of the following points represents the x-intercepts of the quadratic equation y = x2 + 5x + 6?
How many times does the graph of the function below intersect or touch the x-axis?y = -3x2 + x + 4A.1B.0C.2D.3SUBMITarrow_backPREVIOUS
Which of the following represents the x-intercepts and the vertex of the quadratic relation y = −x2 − 6x + 27?
Find the indicated intercept(s) of the graph of the function.x-intercepts of f(x) =
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.