The problem consists of two questions: Question 3: Find the y-intercept of the quadratic function $f(x) = x^2 + 5x - 8$. Question 4: Identify the x-intercepts of the quadratic function shown in the graph, and select all that apply from the given options.

1. Problem Description

The problem consists of two questions:

Question 3: Find the y-intercept of the quadratic function $f(x) = x^2 + 5x - 8$.

Question 4: Identify the x-intercepts of the quadratic function shown in the graph, and select all that apply from the given options.

2. Solution Steps

Question 3:

To find the y-intercept of a function, we need to find the value of $f(x)$ when $x = 0$.

$$f(0) = (0)^2 + 5(0) - 8 = 0 + 0 - 8 = -8$$

The y-intercept is the point where the graph intersects the y-axis, which occurs at $x = 0$. Thus, the y-intercept is $(0, -8)$.

Question 4:

The x-intercepts are the points where the graph intersects the x-axis. From the graph, we can see that the parabola intersects the x-axis at approximately $-1/2$ and $2$. Therefore, the x-intercepts are $(-1/2, 0)$ and $(2, 0)$.

3. Final Answer

Question 3:

(0,-8)

Question 4:

(-1/2, 0)

(2, 0)