Find the y-intercept of the parabola y = x^2 + 2x − 37/5 . 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 + 2x - 37/5. y = (0)^2 + 2(0) - 37/5 y = 0 + 0 - 37/5 y = -37/5Find y-intercept point: The y-intercept of the parabola is the point (0, -37/5). Therefore, the y-coordinate of the y-intercept is -37/5.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the $y$ -intercept of the parabola $y = x^2 + 2x - \frac{37}{5}$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

View step-by-step help

Home

Math Problems

Algebra 2

Characteristics of quadratic functions: equations

Full solution

Q. Find the

y

-intercept of the parabola

y = x^2 + 2x - \frac{37}{5}

\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 $y = x^2 + 2x - \frac{37}{5}$ .
$y = (0)^2 + 2(0) - \frac{37}{5}$
$y = 0 + 0 - \frac{37}{5}$
$y = -\frac{37}{5}$
Find y-intercept point: The y-intercept of the parabola is the point $(0, -37/5)$ . Therefore, the y-coordinate of the y-intercept is $-37/5$ .