The standard form of the quadratic function is:

$Y=ax^2+bx+c$

For example:

$Y=4x^2+3x+15$

Question Types:

The standard form of the quadratic function is:

$Y=ax^2+bx+c$

For example:

$Y=4x^2+3x+15$

Question 1

Find the standard representation of the following function

\( f(x)=(x-2)(x+5) \)

Question 2

Create an algebraic expression based on the following parameters:

\( a=2,b=2,c=2 \)

Question 3

Create an algebraic expression based on the following parameters:

\( a=2,b=\frac{1}{2},c=4 \)

Question 4

Create an algebraic expression based on the following parameters:

\( a=2,b=0,c=4 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=2,b=4,c=8 \)

Find the standard representation of the following function

$f(x)=(x-2)(x+5)$

We will use the expanded distributive property.

(*a*+1)⋆(*b*+2) = *ab*+2*a*+*b*+2

Let's substitute the given values and solve:

(x-2)(x+5) =

x²-2x+5x+-2*5=

x²+3x-10

And that's the solution!

$f(x)+x^2+3x-10$

Create an algebraic expression based on the following parameters:

$a=2,b=2,c=2$

$2x^2+2x+2$

Create an algebraic expression based on the following parameters:

$a=2,b=\frac{1}{2},c=4$

$2x^2+\frac{1}{2}x+4$

Create an algebraic expression based on the following parameters:

$a=2,b=0,c=4$

$2x^2+4$

Create an algebraic expression based on the following parameters:

$a=2,b=4,c=8$

$2x^2+4x+8$

Question 1

Create an algebraic expression based on the following parameters:

\( a=3,b=0,c=-3 \)

Question 2

Choose the correct algebraic expression based on the parameters:

\( a=-3,b=3,c=7 \)

Question 3

Find the appropriate representation based on the parameters

\( a=-3,b=4,c=-15 \)

Question 4

Create an algebraic expression based on the following parameters:

\( a=3,b=6,c=9 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=3,b=0,c=0 \)

Create an algebraic expression based on the following parameters:

$a=3,b=0,c=-3$

$3x^2-3$

Choose the correct algebraic expression based on the parameters:

$a=-3,b=3,c=7$

$-3x^2+3x+7$

Find the appropriate representation based on the parameters

$a=-3,b=4,c=-15$

$-3x^2+4x-15$

Create an algebraic expression based on the following parameters:

$a=3,b=6,c=9$

$3x^2+6x+9$

Create an algebraic expression based on the following parameters:

$a=3,b=0,c=0$

$3x^2$

Question 1

Create an algebraic expression based on the following parameters:

\( a=4,b=-16,c=0 \)

Question 2

Create an algebraic expression based on the following parameters:

\( a=4,b=-2,c=16 \)

Question 3

Create an algebraic expression based on the following parameters:

\( a=4,b=2,c=5 \)

Question 4

Create an algebraic expression based on the following parameters:

\( a=5,b=3,c=-4 \)

Question 5

Create an algebraic expression based on the following parameters:

\( a=2,b=0,c=6 \)

Create an algebraic expression based on the following parameters:

$a=4,b=-16,c=0$

$4x^2-16x$

Create an algebraic expression based on the following parameters:

$a=4,b=-2,c=16$

$4x^2-2x+16$

Create an algebraic expression based on the following parameters:

$a=4,b=2,c=5$

$4x^2+2x+5$

Create an algebraic expression based on the following parameters:

$a=5,b=3,c=-4$

$5x^2+3x-4$

Create an algebraic expression based on the following parameters:

$a=2,b=0,c=6$

$2x^2+6$