Plotting the quadratic function

Question 1

What are the steps to plot the quadratic function

ax² + bx + c

Answer 1

Step 1 Compute the y value of a given x value

Step 2 Plot all the known coordinates in a cartesian plane

Step 3 Draw the curve connecting all the points

Question 2

Given the equation

y = x² + 3x + 2

what is the value of y when x = -1

Answer 2

Substitute x = -1 into x² + 3x + 2

(-1)² +3(-1) + 2 = 0

Question 3

Given the equation

y = x² + 3x + 2

what is the value of y when x = 0

Answer 3

Substitute x = 0 into x² + 3x + 2

(0)² +3(0) + 2 = 2

Question 4

Given the equation

y = x² + 3x + 2

what is the value of y when x = 1

Answer 4

Substitute x = 1 into x² + 3x + 2

(1)² +3(1) + 2 = 6

Question 5

Are you able to plot the coordinates of

(-4, 12); (-3, 5); (-2, 0); (-1, -3); (0, -4); (1, -3); (2, 0); (3, 5); (4, 12)

Answer 5

Question 6

When you draw the curve, should you draw straight lines to connect the points?

Answer 6

When drawing a curve, always draw a smooth curve, there should be no corners.