Standard & Vertex Form of Quadratics

• Graph opens upward & Stretch/compress

• y

• Causes shift up and down

• k

• Has no affect on transformation of the graph.

• h

• Graph opens downward (reflection)

• a

• Causes shift left and right

• -a

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen
• narrow
• neither

Find the equation of the parabola that has...

moved 3 units to the left

moved 5 units up

Tags

CCSS.HSF-IF.C.7A

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

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

• opens up with a maximum; y-int = (0, -2)

• opens up with a minimum; y-int = (0, 2)

• opens down with a maximum; y-int = (0, -2)

• opens down with a minimum; y-int = (0, 2) 

Tags

CCSS.HSF-IF.C.7A

What is the vertex of f(x)=-3(x+2)²-5

• (-2,-5)

• (-2,5)

• (2,-5)

• (-5,2)

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

What is another name for the roots of a quadratic?

(Select ALL that apply)

• x-intercepts

• zeros

• y-intercept

• solutions

• vertex