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Why graph of quadratic is always u-shaped do any coefficient effects the shape of graph of quadratic

Why graph of quadratic is always u-shaped
do any coefficient effects the shape of graph of quadratic  

Grade:10

1 Answers

sonika p
129 Points
6 years ago
graph of quadratic is u-shaped since for every two values of x, there is one y value. that is for both positive and negative signs of x having the same magnitude there is only one y value. the -ve sign is take care by the square part of x. -ve coefficient of x^2 term gets affected the orientation of the curve(either downwards of upwards)
example, 
y = x^2 is an upward curve where as
y=-x^2 is a downward curve

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