Understanding quadratic equations in one variable

Convert
 f(x) = -4(x - 1)² +7
to standard form.

• f(x) = -4x² + 3
• f(x) = -4x² - 8x + 17
• f(x) = -4x² +8x - 11
• f(x) = -4x² +8x + 3

In the equation ax²+bx+c=0, the c term is always the... 

• x² term
• x term
• constant
• zero

The first difference of this quadratic pattern is...

• Constant (+2)

• Linear (+5, +7, +9)

• There's no constant difference, it's multiplying each time.

Answer explanation

The FIRST difference of a quadratic pattern is always LINEAR.

The SECOND difference, or second layer of the pattern, shows the consistency of +2 (or whatever it is).

Which of the following is standard form of a quadratic equation ?

Get the following equation in standard form:
 $3x^2+5x-3=-5\$  

•  $3x^2+5x-3=0$  

•  $3x^2+5x+2=0$  

•  $3x^2+5x-2=0$  

•  $3x^2+5x-8=0$  

• A
• B
• C
• D

Which of the following is a quadratic function?

Identify linear coefficient (b) of the following quadratic function:  y = 3x ² − 4x + 2

• 3

• 4

• -4

• 2

• 4

• 0

• -16

• x

Find a,b,c in the following equation. Y=X²+4

• a=0, b=1, c=4

• a=1, b=0, c=4

• a=Y, b=x², c=4

• a=4, b=1, c=Y