Graph y=5/4x^2

Problem

y=5/4*x2

Solution

1. Identify the type of function. This is a quadratic function in the form y=a*x2 which represents a parabola that opens upward because a=5/4 is positive.

2. Determine the vertex. Since there are no horizontal or vertical shifts, the vertex is at the origin (0,0)

3. Find additional points to determine the width of the parabola. Choose x values that are multiples of 2 to simplify the fraction.

4. Calculate the value for x=2

y=5/4*(2)2

y=5/4*(4)

y=5

This gives the point (2,5)

5. Calculate the value for x=−2

y=5/4*(−2)2

y=5/4*(4)

y=5

This gives the point (−2,5)

6. Plot the points (0,0) (2,5) and (−2,5) on a coordinate plane and draw a smooth U-shaped curve passing through them.

Final Answer

y=5/4*x2

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