Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x? f(x) = (x – 1)2 + 3 f(x) = (x – 1)2 + 5 f(x) = (x + 1)2 + 3 f(x) = (x + 1)2 + 5

vertex form is f(x) = ( x-1)² + 3.

Step-by-step explanation:

Given :  f(x) = 4 + x² – 2x.

To find : Which function in vertex form is equivalent to f(x) = 4 + x² – 2x.

Solution : We have given that  f(x) = 4 + x² – 2x.

Rearrange in function :  f(x) = x² – 2x + 4.

Vertex form of y = a(x-h)²+k .

Now, add and subtract (-1)² in f(x) .

f(x) = x² – 2x + 4 + (-1)²- (-1)².

By  Squaring formula : (x +a)²= x²+ a²+2ax .

We can write x² – 2x + (-1)²- (-1)² +4 as ( x-1)²- (-1)² +4.

f(x) = ( x-1)²- (-1)² +4.

Now , completing square ,

f(x) = ( x-1)²- 1 +4.

f(x) = ( x-1)² + 3.

Therefore , vertex form is f(x) = ( x-1)² + 3.

need points to ask question

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x