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

Find 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. y = (0)^2 + 1 y = 0 + 1 y = 1Identify y-intercept point: The y-intercept of the parabola is the point where the graph crosses the y-axis, which occurs at (0, y). Since we found y = 1 when x = 0, the y-intercept is at (0, 1).

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

\newline

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

\newline

_____

Find 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 $y = x^2 + 1$ . $\newline$ $y = (0)^2 + 1$ $\newline$ $y = 0 + 1$ $\newline$ $y = 1$
Identify y-intercept point: The y-intercept of the parabola is the point where the graph crosses the y-axis, which occurs at $(0, y)$ . Since we found $y = 1$ when $x = 0$ , the y-intercept is at $(0, 1)$ .