Find the y-intercept of the parabola y = x^2 + 5x + 10 . 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 + 5x + 10 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 + 5x + 10 to find the y-intercept. y = (0)^2 + 5(0) + 10 y = 0 + 0 + 10 y = 10Find y-intercept: The y-intercept of the parabola y = x^2 + 5x + 10 is the point (0, 10).

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Find the $y$ -intercept of the parabola $y = x^2 + 5x + 10$ . $\newline$ 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 + 5x + 10

\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 $y = x^2 + 5x + 10$ 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 $y = x^2 + 5x + 10$ to find the y-intercept. $\newline$ $y = (0)^2 + 5(0) + 10$ $\newline$ $y = 0 + 0 + 10$ $\newline$ $y = 10$
Find y-intercept: The y-intercept of the parabola $y = x^2 + 5x + 10$ is the point $(0, 10)$ .