NEW
Font size
WorksheetsExploring Quadratic Functions
Total questions: 14
Worksheet time: 7mins
What is the vertex of the parabola defined by the equation y = (x-3)^2 - 4?
(3, -4)
(-3 4)
(0, 3)
(3, 0)
Determine the axis of symmetry for the quadratic function y = (x + 3)x^2 + 8.
x = 0
x = 2
x = -3
x =8
Analyze the behavior of the graph of the function y = -3(x + 1)^2 + 2 as x approaches positive infinity.
y approaches zero as x approaches positive infinity.
y approaches negative infinity as x approaches positive infinity.
y approaches positive infinity as x approaches positive infinity.
y remains constant as x approaches positive infinity.
Classify the direction of the graph for the function y = -x^2 + 5.
The graph opens downwards.
The graph opens upwards.
The graph is horizontal.
The graph is a straight line.
If the vertex of a parabola is at (2, -3), what is the axis of symmetry?
x = 2
x = -2
y = 2
y = -3
Translate the function y = x^2 to the right by 3 units. What is the new equation?
y = (x + 3)^2
y = (x - 1)^2
y = (x - 3)^2
y = x^2 + 3
What is the vertex of the parabola represented by the equation y = (x - 5)^2 + 1?
(5, 1)
(1, 5)
(2, 1)
(0, 5)
How does the graph of y = x^2 change when it is translated down by 4 units?
The graph of y = x^2 remains unchanged.
The graph of y = x^2 translates to y = x^2 - 4.
The graph of y = x^2 translates to y = -x^2.
The graph of y = x^2 translates to y = x^2 + 4.
What is the behavior of the graph of y = 5(x - 2)^2 + 1 as x approaches negative infinity?
The graph approaches positive infinity as x approaches negative infinity.
The graph approaches negative infinity as x approaches negative infinity.
The graph remains constant at y = 1 as x approaches negative infinity.
The graph approaches zero as x approaches negative infinity.
Describe the behavior of the graph of y = 2(x + 2)^2 - 5 as x increases.
The graph of y = 2(x + 2)^2 - 5 decreases as x increases.
The graph of y = 2(x + 2)^2 - 5 remains constant as x increases.
The graph of y = 2(x + 2)^2 - 5 oscillates as x increases.
The graph of y = 2(x + 2)^2 - 5 increases as x increases.
Classify the direction of the graph for the function y = 4x^2 - 8x + 1.
The graph opens upwards.
The graph is a straight line.
The graph opens downwards.
The graph oscillates between two points.
If a parabola opens upwards, what can you say about the coefficient of the x^2 term?
The coefficient of the x^2 term is zero.
The coefficient of the x^2 term is negative.
The coefficient of the x^2 term is positive.
The coefficient of the x^2 term can be any real number.
Analyze the behavior of the graph of the function y = -2(x - 1)^2 + 3 as x approaches positive infinity.
The graph approaches negative infinity as x approaches positive infinity.
The graph approaches positive infinity as x approaches positive infinity.
The graph oscillates between -2 and 3 as x approaches positive infinity.
The graph remains constant at y = 3 as x approaches positive infinity.
What is the direction of the graph for the function y = -x^2 + 2x + 1?
The graph opens upwards.
The graph is horizontal.
The graph opens downwards.
The graph is a straight line.
