Question

The graph of the equation y=ax^2+bx+c is a downward parabola,if *

a>0
a<0
a=0
a=1​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The graph of the equation y = ax² + bx + c is a downward parabola,if

• a > 0

• a < 0

• a = 0

• a = 1

EVALUATION

Here the given equation is

y = ax² + bx + c

Since degree of one variable is 1 and degree of another variable is 2

So the given equation represents the equation of parabola

The given equation can be rewritten as

$\sf{y - \beta = a {(x - \alpha )}^{2} }$

Now

If a > 0 then the parabola is upward

If a < 0 the parabola is downward

FINAL ANSWER

Hence the correct option is a < 0

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