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Determine the exact x-intercepts of y = (x + 4) - 7.
What are the approximate x-intercepts? Sketch a graph of the parabola.
a.
b.
Refer to the Math Notes box in this lesson. Are the solutions to the
equation 0 = (x + 4) - 7 rational or irrational numbers? Explain.
c.
What are the coordinates of the vertex of the parabola? Is your answer
exact or approximate?

Sagot :

MrRoyal

The x-intercept of a graph is the point where the graph crosses the x-axis

(a) Graph

The function is given as:

[tex]y = (x + 4)^2 - 7[/tex]

See attachment for the graph of the function.

From the attachment, the approximated x-intercepts are -7 and -1

(b) Type of solution

From the attached graph, we can see that the curve crosses the x-axis at non-terminating decimals

Hence, the solutions of the equation are irrational.

(c) The vertex

This is the minimum or the maximum point of a parabola.

From the attached graph, the minimum point is at (-4,-7)

Hence, the coordinates of the vertex of the parabola is (-4,-7), and it is exact (not approximated)

Read more about parabolas at:

https://brainly.com/question/4061870

View image MrRoyal
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