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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
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1 Answer

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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
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