The Quadratic Formula: Identifying and defining elements

a = coefficient of x²

b = coefficient of x

c = coefficient of the constant term

What is the value of $c$ in the function $y=-x^2+25x$?

Let's recall the general form of the quadratic function:

$y=ax^2+bx+c$ The function given in the problem is:

$y=-x^2+25x$$c$is the free term (meaning the coefficient of the term with power 0),

In the function in the problem there is no free term,

Therefore, we can identify that:

$c=0$Therefore, the correct answer is answer A.

$c=0$

a = Coefficient of x²

b = Coefficient of x

c = Coefficient of the independent number

what is the value of $a$ in the equation

$y=3x-10+5x^2$

$a=5$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

$x^2+4x-5=0$

What are the components of the equation?

$a=1$ $b=4$ $c=-5$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

$10x^2+5+20x=0$

What are the components of the equation?

$a=10$ $b=20$ $c=5$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $a$ in the equation

$y=-x^2-3x+1$

$a=-1$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

$5-6x^2+12x=0$

What are the components of the equation?

$a=-6$ $b=12$ $c=5$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

Identifies a,b,c

$5x^2+6x-8=0$

$a=5$ $b=6$ $c=-8$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

$-8x^2-5x+9=0$

What are the components of the equation?

$a=-8$ $b=-5$ $c=9$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

$-x^2-2=0$

What are the components of the equation?

$a=-1$ $b=0$ $c=-2$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

$x^2+7x=0$

What are the components of the equation?

$a=1$ $b=7$ $c=0$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $b$in this quadratic equation:

$y=4x^2-16$

$b=0$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $b$ in the equation

$y=2x-3x^2+1$

$b=2$

a = Coefficient of x²

b = Coefficient of x

c = Coefficient of the independent number

what is the value of $b$ in the equation

$y=3x^2+10-x$

$b=-1$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $c$ in this quadratic equation:

$y=5+3x^2$

$c=5$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $c$ in this quadratic equation:

$y=-5x^2+4x-3$

$c=-3$

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $a$ in this quadratic equation:

$y=3x+30$

That's not a quadratic equation

What is the value of $a$ in the equation $4x^2=-4x+16$?

$a=4$