Expression is shown below: f(x) = 2x2 + 5x – 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work factoring and using the Zero Product
Property.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the
vertex? Justify your answers and show your work using the vertex formula.
Part C: Identify the point of the y-intercept for f(x).
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part
A, Part B, and Part C to draw the graph. Draw the graph.

no i do not : ( what is it?

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

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