Plot the graph for the equation y = 2x2 - 5x − 12 using the provided table of values.

Question

ScanSolve AI Tutor · Accepted Answer

I cannot physically draw the graph for you, but I can provide detailed instructions on how to draw it using the information from the previous steps.

The relation is $y = 2x^2 - 5x - 12$ .
The completed table of values is:

x	-3	-2	-1	0	1	2	3	4	5
y	21	6	-5	-12	-15	-14	-9	0	13

Here are the steps to draw the graph:

Prepare your graph paper.
Draw a horizontal line for the x-axis and a vertical line for the y-axis. Label them 'x' and 'y' respectively.
Set up the scales.
- For the x-axis: Mark every 2 cm as 1 unit. So, 2 cm will be 1, 4 cm will be 2, and so on. Mark values from -3 to 5.
- For the y-axis: Mark every 2 cm as 5 units. So, 2 cm will be 5, 4 cm will be 10, 6 cm will be 15, etc. Mark values to cover the range from -15 to 21.
Plot the points from the table.
Carefully plot each (x, y) coordinate pair on your graph paper:
- $(-3, 21)$
- $(-2, 6)$
- $(-1, -5)$
- $(0, -12)$
- $(1, -15)$
- $(2, -14)$
- $(3, -9)$
- $(4, 0)$
- $(5, 13)$
Draw the curve.
Once all points are plotted, draw a smooth curve that passes through all these points. This curve is the graph of the relation $y = 2x^2 - 5x - 12$ .

Plot the graph for the equation y = 2x2 − 5x − 12 using the provided table of values.