Standard Form Quadratic Functions

Changing the c value of a standard form quadratic (y=ax²+bx+c) transforms the graph how?

• Up and down

• Left or right

• Reflects over x axis

• Up only

• Creates a change in the universe that is so chaotic it creates a new galaxy

Describe the transformations from f(x)=x² to g(x)=1/4x²+4

• Reflected across x axis, up 4 units

• Vertical shrink by 1/4, up 4 units

• Vertical stretch by 4, up 4 units

• Vertical string by 1/4, left 4 units

Which function's graph is the result of shifting the graph of f(x)=-x²-4 3 units down?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

Comparing to f(x)=x², select all of the transformations of g(x)=-5x²+11

• Reflected over x axis

• Vertical stretch by 5

• Vertical stretch by 11

• Up 11

• Left 11

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

Which of the following equations is written in the standard form for quadratic equations?

• 8x + 4y = 12

• y = 4x² - 7x + 11

• 3x² + 2x = 1

• 2x² - x³ + 14 = y

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Y = ax² + bx + c is called the ______________ form of a quadratic equation.

• Vertex

• Intercept

• Standard

• Usual

What are the x-intercept/s of the function? 

• {x|x = 3}

• {x|x =-3,3}

• (3, 0)

• (-3, 0)&(3, 0)

Tags

CCSS.HSF-IF.C.7A

What form is the equation in?
y = 2x²-8x+7

• Standard

• Vertex

• Factored

• None of These