2-23 Quadratic Transformations

If the blue is f(x)=x^2, the red must be

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

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Does the equation open up or down? 
Y = -3x² +7x - 2

• up
• down
• both 
• neither

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSF-IF.C.7A

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

What is the domain for all quadratics?

• all real numbers
• x > 0
• 0
• x < 0

How did we transform from y=x^2?
y = -3x²

• reflection and vertical shift down
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• horizontal shift right 4 units
• vertical shift up 4 units
• horizontal shift left 4 units
• vertical shift down 4 units

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

• (3,8)
• (-3,-8)
• (-3,8)
• (3,-8)

Which is the parent function of a parabola?

• y = x²
• y = 2x² + 3
• y = -x² -4
• y = -x²