Question

Which graph shows the solutions set of x2+9x+20

Answer 1

The graph that shows the solution set of x² + 9x + 20 is shown below. The solution set is: (-5, 0) and (-4, 0).

What is the solution set of a graph?

Given the equation, x² + 9x + 20, the solution set can easily be determined by graphing the equation using a graphing tool. The points where the graph is intersected represent the roots or the solution set of the equation.

The graph below shows the graph of the solutions set of x² + 9x + 20, which is x = -5, and x = -4 [that is (-5, 0) and (-4, 0)].

See the graph attached below.

Answer 2

See attached picture.

Explanation:

The solution set on a graph is the graph or drawing of the function. For this quadratic function, it is the U-shaped graph called a parabola. Graph the equation by finding the x-intercepts and vertex.

The function factors into (x+4)(x+5). So the x-intercepts are -4 and -5.

The vertex of the function is found using -b/2a. Here that is -9/2 = -4.5. This is the x value of the vertex. The y-value is found by substituting x = -4.5 into the function.

(-4.5)^2 + 9(-4.5) + 20

20.25 - 40.5 + 20

Graph three points at (-4,0), (-5,0) and (-4.5, -0.25).

See attached picture for the graph.