Algebra 2 Quiz - Sect 4.1, 4.2 & 10.2

What is a Parabola?

• The graph of a quadratic function
• The graph of a linear function
• The graph of an absolute value function
• A boat

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Find the vertex, focus, and directrix of the parabola:
y= -(1/40) x²

• Vertex: (0, 0) Focus: (-20,0) Directrix: x = 10
• Vertex: (0, 0) Focus: (0,10) Directrix: y=10
• Vertex: (0, 0) Focus: (0,10) Directrix: y=-10
• Vertex: (0, 0) Focus: (0, -10) Directrix: y = 10

Which equation below represents a parabola that opens upward with a vertex at (0,-5)?

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

Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y = -4.

• y = (1/16) x²
• y = 4x²
• y = 16x²
• y = (1/4) x²

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

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a
• -b/a
• b/2a
• -b/2a

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

• Minimum value, because the a value is positive
• Maximum value, because the b value is positive
• Maximum value, because the a value is positive
• Minimum value, because the c value is negative

What is the domain of the function?

• D:(3,∞)
• D:(-∞,3)
• D:(-∞,∞)
• D:(-1,5)