Questions: Which way does the polynomial x= -3 y^2+1 open?

Which way does the polynomial x= -3 y^2+1 open?
Transcript text: Which way does the polynomial $x=$ $-3 y^{2}+1$ open?
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Solution

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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.

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