The equation of the parabola with points (-1, 3), (0.5, 4.5) and (0,3) is y = 2x² + 2x + 3
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
The pareabola equation is in the form:
y = ax² + bx +c
At point (-1, 3):
3 = a(-1)² + b(-1) + c (1)
At point (0.5, 4.5):
4.5 = a(0.5)² + b(0.5) + c (2)
At point (0, 3):
3 = a(0)² + b(0) + c (3)
From the equations:
a = 2, b = 2, c= 3
The equation of the parabola with points (-1, 3), (0.5, 4.5) and (0,3) is y = 2x² + 2x + 3
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