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nasty-shy [4]
2 years ago
15

Y = 3(x-2)^2 + 5

Mathematics
1 answer:
Orlov [11]2 years ago
3 0

The y-intercept coordinate is at the point (0, 17)

<h3>Properties of functions</h3>

Given the following function expressed as:

y = 3(x-2)^2 + 5

  • The vertex of the function (h, k) is (2, 5) while the axis of symmetry is at x = 2
  • Domain are the input values for which the function exist. According to the function, the domain and  range exists on all real values

The x-intercept is the point where y = 0

3(x-2)^2 + 5=0\\3(x-2)^2  = -5\\(x-2)^2 = -5/3\\x - 2 = 25/9\\x = 25/9 + 2\\x = \frac{43}{9}

Hence the x-intercept is (43/9, 0)

The y-intercept is the point where x = 0

y=3(x-2)^2 + 5\\y=3(-2)^2 + 5\\y=12+5\\y=17

The y-intercept coordinate is at the point (0, 17)

Learn more on vertex and axis of symmetry here: brainly.com/question/21191648

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