Respuesta :

Answer:

f(x) = x² - 4x + 2 or f(x) = (x - 2)²

Step-by-step explanation:

  • The parabola touches the x-axis at only one point
  • If we use y = a(x − h)² + k, we can see from the graph that h = 2 and k = 0
  • This gives us y = a(x − 2)²

What is the value of "a"?

  • We also see that the y-intercept is (0, 4)
  • We can plug it into the equation
  • 4 = a(0 - 2)²
  • 4a = 4
  • a = 1

So, our quadratic equation will be :

  • y = 1(x - 2)²
  • y = x² - 4x + 2 or y = (x - 2)²

Answer:

f(x)=(x-2)^2

Step-by-step explanation:

They deleted my first answer, the one you marked brainliest :/

Promise this is correct, but i don't know how to explain it. The person above me did it wonderfully though. Hope this helped <3, Have a great day!

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