Find the y-intercept of the parabola y = x^2 − 19/2 . Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Evaluate at x = 0: To find the y-intercept of the parabola, we need to evaluate the equation y = x^2 - 19/2 at x = 0, because the y-intercept occurs where the graph of the equation crosses the y-axis, and the x-coordinate is always 0 at the y-axis.Substitute x = 0: Substitute x = 0 into the equation y = x^2 - 19/2 to find the y-intercept. y = (0)^2 - 19/2 y = 0 - 19/2 y = -19/2Find y-intercept: The y-intercept of the parabola y = x^2 - 19/2 is the point (0, -19/2).

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Find the $y$ -intercept of the parabola $y = x^2 - \frac{19}{2}$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

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Algebra 2

Characteristics of quadratic functions: equations

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Q. Find the

y

-intercept of the parabola

y = x^2 - \frac{19}{2}

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

_____

Evaluate at $x = 0$ : To find the y-intercept of the parabola, we need to evaluate the equation $y = x^2 - \frac{19}{2}$ at $x = 0$ , because the y-intercept occurs where the graph of the equation crosses the y-axis, and the x-coordinate is always $0$ at the y-axis.
Substitute $x = 0$ : Substitute $x = 0$ into the equation $y = x^2 - \frac{19}{2}$ to find the y-intercept. $\newline$ $y = (0)^2 - \frac{19}{2}$ $\newline$ $y = 0 - \frac{19}{2}$ $\newline$ $y = -\frac{19}{2}$
Find y-intercept: The y-intercept of the parabola $y = x^2 - \frac{19}{2}$ is the point $(0, -\frac{19}{2})$ .