Graph y=-3x^2

Problem

y=−3*x2

Solution

1. Identify the type of function. This is a quadratic function in the form y=a*x2+b*x+c where a=−3 b=0 and c=0

2. Determine the shape and direction. Since a=−3 is negative, the graph is a parabola that opens downward.

3. Find the vertex. For a function in the form y=a*x2 the vertex is at the origin (0,0)

4. Calculate additional points to determine the width. Substitute x values into the equation:
   If x=1 y=−3*(1)2=−3
   If x=−1 y=−3*(−1)2=−3
   If x=2 y=−3*(2)2=−12

5. Plot the points (0,0) (1,−3) and (−1,−3) on a coordinate plane and draw a smooth curve through them.

Final Answer

The graph of y=−3*x2 is a downward-opening parabola with its vertex at (0,0) and passing through (1,−3) and (−1,−3)

Want more problems? Check here!