Question

What is the axis of symmetry for f(x) = 2x2 − 4x + 5?

A) x = −2
B) x = −1
C) x = 1
D) x = 2

Answer 1

C. x = 1

Explanation:

The axis of symmetry is found by the equation: -b/2a.

We are given f(x) = 2x^2 - 4x + 5, where:

• a = 2
• b = -4

Substitute these values into the formula for a.o.s.

-(-4)/2(2) --> 4/4 = 1

The a.o.s. is x = 1.

Answer 2

Axis of symmetry is

C) x = 1

Explanation:

we are given equation as

`2x^2 -4x+5`

we can use axis of symmetry formula

Let's assume we are given quadratic equation as

`y=ax^2+bx+c`

Axis of symmetry is

`x=-(b)/(2a)`

now, we can compare both equations

and we get

`a=2,b=-4`

now, we can find axis of symmetry

`x=-((-4))/(2* 2)`

`x=-((-4))/(4)`

`x=1`