Question
5. find the y -intercept about \( y=x^{2}+3 x-4 \)
Ask by Burgess Rodriguez. in the United Arab Emirates
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
y截距是(0, -4)。
Solution
要找函数 \( y = x^{2} + 3x - 4 \) 的 y 截距，可以令 \( x = 0 \) 来计算对应的 \( y \) 值。
计算过程如下：
\[
y = (0)^{2} + 3 \times 0 - 4 = 0 + 0 - 4 = -4
\]
因此，y 截距是 \( (0, -4) \)。
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Simplify this solution The Deep Dive
To find the y-intercept of the equation \( y = x^{2} + 3x - 4 \), simply substitute \( x = 0 \) into the equation. This gives you \( y = 0^{2} + 3(0) - 4 = -4 \). So, the y-intercept is the point (0, -4). This means that when the graph of this quadratic function intersects the y-axis, it does so at -4, showcasing its importance in visualizing the function. If you were to sketch this graph, that point would help you plot it more accurately!
