Question

Which graph can be used to find the solution(s) to x^2 – 4x + 4 = 2x – 1 – x^2?

Answer 1

Answer:

See explanantion

Step-by-step explanation:

Consider the equation $x^2-4x + 4 = 2x-1-x^2.$ This equation consists of two parts:

• left part is defined by the function $y=x^2-4x+4;$
• right part is defined by the function $y=2x-1-x^2.$

Both these functions are quadratic and determine parabolas. The graph of the function

$y=x^2-4x+4=(x-2)^2$

is parabola tangent to x-axis at point (2,0) with branches going up. The graph of the function

$y=2x-1-x^2=-(x-1)^2$

is parabola tangent to x-axis at point (1,0) with branches going down (see diagram). As you can see from the diagram these two parabolas do not intersect, then there are no solutions.

Answer 2

Answer:

The graph shows two parabolas having vertical flip with one another

Step-by-step explanation:

See the attached image