Questions: Which way does the polynomial x= -3 y^2+1 open?
Transcript text: Which way does the polynomial $x=$ $-3 y^{2}+1$ open?
Solution
Solution Steps
Step 1: Examine the Coefficient \(a\)
The coefficient \(a\) of the term \(y^2\) is -3.
According to the solution approach, the direction in which the polynomial opens is determined by the sign of \(a\).
If \(a > 0\), the polynomial opens to the right.
If \(a < 0\), the polynomial opens to the left.
Step 2: Determine the Direction of Opening
Since \(a = -3\), the polynomial opens to the left.
Final Answer:
The polynomial \(x = -3y^2 + 1\) opens to the left.