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Finding the y-intercept of a Parabola

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Example 3: Use the Equation to Find the y-intercept
y = 12x^2 + 48x + 49

y = 12x^2 + 48x + 49

Jennifer Ledwith

What is the y-intercept of this parabola? Although the y-intercept is hidden, it does exist. Use the equation of the function to find the y-intercept.

y = 12x2 + 48x + 49

The y-intercept has two parts: the x-value and the y-value. Notice that the x-value is always 0. So, plug in 0 for x and solve for y.

  1. y = 12(0)2 + 48(0) + 49   (Replace x with 0.)
  2. y = 12 * 0 + 0 + 49    (Simplify.)
  3. y = 0 + 0 + 49           (Simplify.)
  4. y = 49                       (Simplify.)

The y-intercept is (0, 49).

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