Question
4. find the y-intercept about \( y=x^{2}-3 x-4 \)
Ask by Moreno Ramos. in the United Arab Emirates
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
函数 \( y = x^{2} - 3x - 4 \) 的 y 截距是点 \( (0, -4) \)。
Solution
要求函数 \( y = x^{2} - 3x - 4 \) 的 y 截距。
**步骤如下：**
1. **确定 y 截距的定义：**
y 截距是函数图像与 y 轴的交点，即当 \( x = 0 \) 时的 y 值。
2. **代入 \( x = 0 \) 计算 y 值：**
\[
y = (0)^{2} - 3 \times 0 - 4 = 0 - 0 - 4 = -4
\]
3. **得出 y 截距点：**
\[
(0, -4)
\]
**结论：**
函数 \( y = x^{2} - 3x - 4 \) 的 y 截距是点 \( (0, -4) \)。
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To find the y-intercept of the quadratic equation \( y = x^2 - 3x - 4 \), you simply set \( x = 0 \). Plugging in, we get \( y(0) = 0^2 - 3(0) - 4 = -4 \). So, the y-intercept is at the point \( (0, -4) \). Remember, the y-intercept is where the graph crosses the y-axis, and in this case, it’s down a notch at -4! This provides a handy reference point for sketching the curve of the parabola.
