Find the y-intercept of the parabola y = x^2 + 4x + 8 . Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Evaluate Function at x=0: To find the y-intercept of the parabola, we need to evaluate the function y = x^2 + 4x + 8 at x = 0, because the y-intercept occurs where the graph of the function crosses the y-axis, and this happens when x is zero. Calculation: y(0) = (0)^2 + 4(0) + 8 = 0 + 0 + 8 = 8Calculate y(0): Since we have found the value of y when x is zero, we have determined the y-intercept of the parabola. The y-intercept is the point (0, 8).

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Find the $y$ -intercept of the parabola $y = x^2 + 4x + 8$ . $\newline$ 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 + 4x + 8

\newline

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

\newline

_____

Evaluate Function at $x=0$ : To find the y-intercept of the parabola, we need to evaluate the function $y = x^2 + 4x + 8$ at $x = 0$ , because the y-intercept occurs where the graph of the function crosses the y-axis, and this happens when $x$ is zero. $\newline$ Calculation: $y(0) = (0)^2 + 4(0) + 8 = 0 + 0 + 8 = 8$
Calculate $y(0)$ : Since we have found the value of $y$ when $x$ is zero, we have determined the y-intercept of the parabola. $\newline$ The y-intercept is the point $(0, 8)$ .