Find the y-intercept of the parabola y = x^2 + 1/2 . Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Determine y-intercept: To find the y-intercept of the parabola, we need to determine the value of y when x = 0.Substitute x=0: Substitute x = 0 into the equation y = x^2 + 1/2. y = (0)^2 + 1/2 y = 0 + 1/2 y = 1/2Identify y-intercept point: The y-intercept of the parabola is the point where the graph of the parabola crosses the y-axis. Since we have found the value of y when x = 0, this value represents the y-intercept.

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Find the $y$ -intercept of the parabola $y = x^2 + \frac{1}{2}$ . $\newline$ 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{1}{2}

\newline

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

\newline

_____

Determine y-intercept: To find the y-intercept of the parabola, we need to determine the value of $y$ when $x = 0$ .
Substitute $x=0$ : Substitute $x = 0$ into the equation $y = x^2 + \frac{1}{2}$ . $\newline$ $y = (0)^2 + \frac{1}{2}$ $\newline$ $y = 0 + \frac{1}{2}$ $\newline$ $y = \frac{1}{2}$
Identify y-intercept point: The y-intercept of the parabola is the point where the graph of the parabola crosses the y-axis. Since we have found the value of $y$ when $x = 0$ , this value represents the y-intercept.