Quadratic Tables of Values

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Date:

📊 Part 1: Creating Tables of Values

1. Complete the table of values for y = x² - 4x + 3

Fill in the missing y-values by substituting each x-value into the equation:

x	-2	-1	0	1	2	3	4
y	____	____	____	____	____	____	____

2. Show your working for x = -1 and x = 2:

3. Complete the table of values for y = 2x² - 3x - 1

x	-1	0	1	2	3
y	____	____	____	____	____

4. Look at the table for y = x² - 6x + 8:

x	0	1	2	3	4	5	6
y	8	3	0	-1	0	3	8

a) What is the minimum value of y? y = ____

b) At what x-value does this minimum occur? x = ____

c) What are the x-intercepts (where y = 0)? x = ____ and x = ____

d) What is the y-intercept (where x = 0)? y = ____

5. Multiple choice: What happens to the y-values as you move away from the vertex of a quadratic?

They decrease

They increase

They stay the same

They alternate between positive and negative

6. Create your own table of values for y = -x² + 4x + 1 (choose at least 5 x-values):

7. Explain in your own words how creating a table of values helps when plotting a quadratic graph: