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Graph the function f(x) = (x + 1)(x – 5). Use the drop-down menus to complete the steps needed to graph the function. Identify the x-intercepts: (–1, 0) and (5, 0) Find the midpoint between the intercepts: (2, 0) Find the vertex: Find the y-intercept: Plot another point, then draw the graph.

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BubblyGirly

Answer:

the vertex:   ✔ (2, –9)

the y-intercept:   ✔ (0, –5)

Step-by-step explanation:

The explanation is shown in the two images provided!

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adioabiola

The graph of the function given; f(x) = (x + 1)(x – 5) is as with the notable points explained below.

Graph of quadratic functions

From the function given;

  • f(x) = (x + 1)(x – 5)

The function is in factored form and hence, the zeros, otherwise known as the x-intercepts of the function can be evaluated as;

  • x = -1 and x= 5.

Additionally, the y-intercept of the graph is the point which corresponds to x= 0.

By substitution, the y-intercept is; (0, -5)

Additionally, the vertex of the graph is minimum point of the graph and corresponds to the point where the slope of the tangent line to the function is equal to 0.

Read more on graph of a quadratic function;

https://brainly.com/question/20158951

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