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yawa3891 [41]
3 years ago
15

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

Mathematics
2 answers:
Georgia [21]3 years ago
7 0

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.

Andrews [41]3 years ago
7 0
<h2>Answer:</h2>

<u>The graph shows two parabolas having vertical flip with one another</u>

<h2>Step-by-step explanation:</h2>

See the attached image

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