Properties of a Graph of Quadratic Equation

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 = (x + a)(x + b) + c

What is the vertex of
f(x) = 2(x - 5)² + 12

• (-5, -12)
• (5,-12)
• (5, 12)
• (-5, 12)

What is the axis of symmetry?

• the slope of the graph
• the dividing line for a parabola
• a way to spin my pencil
• the x-axis

What piece of information does c identify in the following equation?

y=ax²+bx+c

• zeros

• axis of symmetry

• direction

• y-intercept

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

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum

What are the x-intercept(s) of this graph?

• -1 and -3

• -1 and 3

• 1 and 3

• 1 and -3

What are the coordinates of the y-intercept?

• (-3, 0)

• (0, -3)

• (2, 1)

• y=-3

What is the range of the graph?

• all real numbers

• to infinity and beyond

• y ≥ -1

• x ≥ 0

What is the domain of the graph?

• all real numbers

• to infinity and beyond

• y ≥ -1

• x ≥ 0

What is the significance of the ordered pair (2, -4) to the graph?

• it is the vertex

• it is the y-intercept

• it is the axis of symmetry

• it is the x-intercept