Quadratic Standard

Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Convert to vertex form. f(x) = 4x² - 32x +2

• y=4(x+4)² - 62

• y=4(x-4)² - 62

• y=4(x-8)² - 62

• y=4(x+8)² - 62

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

Does the following quadratic equation have a maximum or minimum value? How can you tell?

• Minimum value, because the value of a is positive

• Maximum value, because the value of b is positive

• Maximum value, because the value of a is positive

• Minimum value, because the value of c is negative

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Convert the equation from vertex form to standard form

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21