Question
Graph the function f of x equals negative 2x squared plus 5X what is the y value the corresponds to the x value of -1
Answers
Answered by
GPT-4o mini
To find the \( y \) value corresponding to an \( x \) value of \(-1\) for the function \( f(x) = -2x^2 + 5x \), we can substitute \(-1\) for \( x \):
\[
f(-1) = -2(-1)^2 + 5(-1)
\]
Calculating each term:
1. \( (-1)^2 = 1 \)
2. \( -2 \cdot 1 = -2 \)
3. \( 5 \cdot (-1) = -5 \)
Now, combining these results:
\[
f(-1) = -2 - 5 = -7
\]
Thus, the \( y \) value that corresponds to the \( x \) value of \(-1\) is \(-7\). The point on the graph is \((-1, -7)\).
\[
f(-1) = -2(-1)^2 + 5(-1)
\]
Calculating each term:
1. \( (-1)^2 = 1 \)
2. \( -2 \cdot 1 = -2 \)
3. \( 5 \cdot (-1) = -5 \)
Now, combining these results:
\[
f(-1) = -2 - 5 = -7
\]
Thus, the \( y \) value that corresponds to the \( x \) value of \(-1\) is \(-7\). The point on the graph is \((-1, -7)\).
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