Find the y-intercept of the parabola y = x^2 + 4x − 4 . 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 at x = 0, because the y-intercept is the point where the graph of the equation crosses the y-axis, and at this point, the value of x is always 0.Substitute x into equation: Substitute x = 0 into the equation y = x^2 + 4x − 4. y = (0)^2 + 4(0) − 4 y = 0 + 0 − 4 y = −4Calculate y value: The y-intercept of the parabola is the point (0, y), where y is the value we just calculated. Therefore, the y-intercept is (0, -4).

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

\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 at $x = 0$ , because the y-intercept is the point where the graph of the equation crosses the y-axis, and at this point, the value of $x$ is always $0$ .
Substitute $x$ into equation: Substitute $x = 0$ into the equation $y = x^2 + 4x − 4$ . $\newline$ $y = (0)^2 + 4(0) − 4$ $\newline$ $y = 0 + 0 − 4$ $\newline$ $y = −4$
Calculate y value: The y-intercept of the parabola is the point $(0, y)$ , where $y$ is the value we just calculated. $\newline$ Therefore, the y-intercept is $(0, -4)$ .