Copy and complete the tables of values for the relation y = 2x2 + 5x − 3.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for questions 8, 9, and 10.

Question 8:

a) Copy and complete the tables of values for the relation $y = 2x^2 + 5x - 3$ .

Step 1: Calculate $y$ values for each $x$ using the equation $y = 2x^2 + 5x - 3$ .

For $x = -4$ : $y = 2(-4)^2 + 5(-4) - 3 = 2(16) - 20 - 3 = 32 - 20 - 3 = 9$ .
For $x = -3$ : $y = 2(-3)^2 + 5(-3) - 3 = 2(9) - 15 - 3 = 18 - 15 - 3 = 0$ .
For $x = -2$ : $y = 2(-2)^2 + 5(-2) - 3 = 2(4) - 10 - 3 = 8 - 10 - 3 = -5$ .
For $x = -1.5$ : $y = 2(-1.5)^2 + 5(-1.5) - 3 = 2(2.25) - 7.5 - 3 = 4.5 - 7.5 - 3 = -6$ .
For $x = -1$ : $y = 2(-1)^2 + 5(-1) - 3 = 2(1) - 5 - 3 = 2 - 5 - 3 = -6$ .
For $x = -0.5$ : $y = 2(-0.5)^2 + 5(-0.5) - 3 = 2(0.25) - 2.5 - 3 = 0.5 - 2.5 - 3 = -5$ .
For $x = 0$ : $y = 2(0)^2 + 5(0) - 3 = 0 + 0 - 3 = -3$ .
For $x = 1$ : $y = 2(1)^2 + 5(1) - 3 = 2(1) + 5 - 3 = 2 + 5 - 3 = 4$ .
For $x = 2$ : $y = 2(2)^2 + 5(2) - 3 = 2(4) + 10 - 3 = 8 + 10 -

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