Transforming Quadratic Equations

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1
• f(x) = (x + 3)² + 1
• f(x) = (x - 3)² + 1
• f(x) = (x + 1)²- 3

Which function has a translation of 2 units right and a dilation 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 function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.
• It is shifted 3 units right.
• It is shifted 3 units down.
• It is shifted 3 units up.

Which quadratic is the narrowest graph?

• y = 3x²
• y = 4x²
• y = 2x²

Which quadratic graph is the widest?

• y = 5x²
• y = -¼x²
• y = -½x²
• y = 5x²

Comparing the functions, which is the most narrow?

• f(x)=3x²

• g(x)= -2x²

• h(x)=0.5x²

• a(x)=12x²

For a graph to be wider, the a value must be

• Very large number, regardless of sign

• Very small number, regardless of sign

• Negative number

• a=0

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

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)