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Which of the following quadratic functions has a graph that opens downward? Check all that apply.

A. Y=60x-15x^2
B. Y= -(5+2x^2)
C. 2x^2-9x+3
D. X^2+4x+8

Respuesta :

Answer:

A & B

Step-by-step explanation:

A&B are your answers since they're the only ones which has negative in their equations for the [tex]x^{2}[/tex] term.

Whereas C is a linear equation and D opens upward since [tex]x^{2}[/tex] is positive.

Hope this helps!

Answer:

A. [tex]y=60x-15x^2[/tex]

B. [tex]y= -(5+2x^2)[/tex]

Step-by-step explanation:

Since, a quadratic function with the negative leading coefficient is always opens downward,

Note :

Leading coefficient : the coefficient (constant value written before a variable) which variable has the highest exponent.

In quadratic function the coefficient before the variable with exponent 2 is leading coefficient,

In [tex]y=60x-15x^2[/tex]

Leading coefficient = -15 ( negative )

it opens downward,

In [tex]y=-(5+2x^2)[/tex]

Leading coefficient = -2 ( negative )

it opens downward,

In [tex]y=2x^2-9x+3[/tex]

Leading coefficient = 2 ( positive )

it does not open downward,

In [tex]y=x^2+4x+8[/tex]

Leading coefficient = 1 ( positive )

it does not open downward.

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