Quadratic Functions-1 2 .pdf - Quadratic Functions Part 1:...

Quadratic Functions
Part 1: The Parent Function
Consider the squaring
†
function, f ( x ) = x
2
.
x
y
- 2 - 1 1 2
1
2
3
4
x f(x)
0
0.5
1
1.5
2
1. Compute and fill in the function values in the table above.
2. For each ordered pair
(
x, f ( x )
)
in the table, plot the corresponding point on the xy -plane above.
3. With a complete sentence, explain how you can deduce the values of f ( - 0 . 5), f ( - 1), f ( - 1 . 5), and
f ( - 2) without computing them directly.
4. Plot the points corresponding with the values in #3 on the xy -plane above.
5. Connect the points with a smooth curve. This curve is called a parabola .
6. Complete this sentence:
This parabola is symmetric about the
horizontal / vertical
line
x / y
= .
This line is known as the axis of symmetry of the parabola.
7. At which point does this parabola intersect its axis of symmetry? .