Question

Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? On a coordinate plane, a vertical dashed line at (negative 2, 0) is parallel to the y-axis. On a coordinate plane, a vertical dashed line at (2, 0) is parallel to the y-axis. On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis.

Answer 1

Answer:

Answer is C

Step-by-step explanation:

E D G E N U I T Y

Answer 2

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis ⇒ 2nd answer

Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

• (h , k) are the coordinates of its vertex point
• The axis of symmetry of it is a vertical line passes through (h , 0)
• The minimum value of the function is y = k at x = h

∵ f(x) = a(x - h)² + k

∵ f(x) = (x - 2)² + 1

∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

   passes through (2 , 0)

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

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