Find Point C on f(x)=x²-8x+16: Quadratic Function Graph Analysis

The following function has been plotted on the graph below:

f(x)=x2−8x+16 f(x)=x^2-8x+16

Calculate point C.

CCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the coordinates of point C
00:06 At point C Y=0, the point is on the X-axis
00:10 Substitute Y=0 in the function and solve for X
00:19 We want to factor the function into a trinomial
00:23 This is the appropriate factorization
00:30 Isolate X
00:35 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The following function has been plotted on the graph below:

f(x)=x2−8x+16 f(x)=x^2-8x+16

Calculate point C.

CCC

2

Step-by-step solution

To solve the exercise, first note that point C lies on the X-axis.

Therefore, to find it, we need to understand what is the X value when Y equals 0.

Let's set the equation equal to 0:

0=x²-8x+16

We'll use the preferred method (trinomial or quadratic formula) to find the X values, and we'll discover that

X=4

3

Final Answer

(4,0) (4,0)

Practice Quiz

Test your knowledge with interactive questions

The following function has been graphed below:

\( f(x)=-x^2+5x+6 \)

Calculate points A and B.

BBBAAACCC

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