Quadratics Characteristics Transformations and Graphings

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4

• f(x)=(x-3)²-4

• f(x)=(x+4)²-3

• f(x)=(x-4)²-3

Which of the following graphs appropriately marks the axis of symmetry?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

What are the solutions of this graph?

• -2 and 3

• -1/2 and -6

• -2 and -6

• 3 and -6

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

How many solutions does this function have?

• two

• one

• all real numbers

• no real solutions

What are the solutions to this function?

• x={-2,-1}

• x={-3,-1}

• x={-1,3}

• x={-1,-2}

Write the equation of this transformation: up 8

• y=(x+8)²

• y= x²+8

• y= x²-8

• y=8x²

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

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