196k views
5 votes
Given f(x)= 2(x-3)^2-6
Solve f(x)=-4, explain the meaning in relation to the graph. ​

Given f(x)= 2(x-3)^2-6 Solve f(x)=-4, explain the meaning in relation to the graph-example-1
User Pjj
by
8.7k points

1 Answer

3 votes

Answer: x = 2 and x = 4

Step-by-step explanation

Draw a horizontal line through y = -4. Notice the horizontal line passes through the parabola at (2,-4) and (4,-4)

This means x = 2 and x = 4 are solutions to f(x) = -4 when f(x) = 2(x-3)^2-6

As a check, let's try out x = 2

f(x) = 2(x-3)^2-6

f(2) = 2(2-3)^2-6

f(2) = 2(-1)^2-6

f(2) = 2(1)-6

f(2) = 2-6

f(2) = -4

This confirms that x = 2 leads to f(x) = -4.

Similar steps will result when x = 4.

User RobotNerd
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories