Sketch the graph of the equation. Label the vertex and the intercepts.

Question

yequalsminusxsquaredplus4xminus4
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Part 1
Use the graphing tool to graph the equation.

Part 2
The​ intercept(s) is/are
  
enter your response here.
​(Type an ordered pair. Type an exact​ answer, using radicals as needed. Use a comma to separate answers as​ needed.)

Answer 1

Part 1:
The graph of the equation y = -x^2 + 4x - 4 is a downward opening parabola with vertex at (2,0).

Part 2:
The x-intercepts are found by setting y = 0:
0 = -x^2 + 4x - 4
x^2 - 4x + 4 = 0
(x - 2)^2 = 0
x - 2 = 0
x = 2

Therefore, the x-intercept is at (2,0).