Question

Find the y-intercept of the following function.

f(x)=−x²−3x+4
Write your answer in the form (x,y) and use fractions if necessary

Answer 1

To find the y-intercept of f(x) = -x² - 3x + 4, plug in x = 0 to get f(0) = 4. The y-intercept is the point (0, 4).

Step-by-step explanation:

To find the y-intercept of the function f(x) = -x² - 3x + 4, we need to determine the point where the graph of the function crosses the y-axis. This occurs when the value of x is 0. By substituting x = 0 into the equation, we can calculate the y-intercept.

Step 1: Substitute x = 0 into the equation:

f(0) = -(0)² - 3(0) + 4 = 0 - 0 + 4 = 4.

Step 2: State the y-intercept as an ordered pair where x is 0 and y is the value calculated:

(0, 4).

Therefore, the y-intercept of the function is the point (0, 4), which is where the graph intersects the y-axis.