Question

Fill in the blanks.
How to Find the x-Intercepts of a
Parabola
Example
Step 1: Start with an equation in standard form: y= ax'+bx+c
Parabola: y = x'- 6x + 8
Step 2: Substitute O for y.
1 Answer
Step 3: Factor the trinomial.
• Answer
Step 4: Use the zero product rule to solve for x.
x-4 = 0 and x - 2 = 0
1 Answer
Step 5: Write the results from Step 4 as ordered pairs (x, 0).
x-intercepts: ' Answer
:: (4, 0) and (2, 0)
:: 0= (x-4)(x-2)
:: x= 4 and x = 2
:0=x-6x+8

Answer 1

Sure! Here’s how to fill in the blanks based on the problem you provided about finding the x-intercepts of a parabola.

How to Find the x-Intercepts of a Parabola

Example
Step 1: Start with an equation in standard form: y = ax² + bx + c
Parabola: y = x² - 6x + 8

Step 2: Substitute 0 for y.
0 = x² - 6x + 8

Step 3: Factor the trinomial.
0 = (x - 4)(x - 2)

Step 4: Use the zero product rule to solve for x.
x - 4 = 0 and x - 2 = 0
x = 4 and x = 2

Step 5: Write the results from Step 4 as ordered pairs (x, 0).
x-intercepts: (4, 0) and (2, 0)

So to summarize:
- Step 2 Answer: 0 = x² - 6x + 8
- Step 3 Answer: 0 = (x - 4)(x - 2)
- Step 4 Answers: x = 4 and x = 2
- Step 5 Answer: (4, 0) and (2, 0)