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Question 1 of 5
Which of the following shows the graph of y=3x2?
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If a>0, the parabola is concave up.
If a<0, the parabola is concave down.
A big a means a narrow parabola while a small a means it is wide.
First, check the coefficient of the equation y=3x2.
The value of a is large, so we can deduce that the graph is narrow.
Next, check the sign of a.
Because a=3 is positive, we can say that the graph is concave up.
Hence, we can choose from the options which best matches the characteristics of the parabola identified above.
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Question 2 of 5
Which of the following shows the graph of y=-x2?
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If a>0, the parabola is concave up.
If a<0, the parabola is concave down.
A big a means a narrow parabola while a small a means it is wide.
First, check the coefficient of the equation y=-x2.
The value of a is -1, so we can deduce that the graph is of normal size.
Next, check the sign of a.
Because a=-1 is negative, we can say that the graph is concave down.
Hence, we can choose from the options which best matches the characteristics of the parabola identified above.
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Question 3 of 5
Which of the following shows the graph of y=12x2?
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If a>0, the parabola is concave up.
If a<0, the parabola is concave down.
A big a means a narrow parabola while a small a means it is wide.
First, check the coefficient of the equation y=12x2.
The value of a is small, so we can deduce that the graph is wide.
Next, check the sign of a.
Because a=12 is positive, we can say that the graph is concave up.
Hence, we can choose from the options which best matches the characteristics of the parabola identified above.
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Question 4 of 5
Which of the following shows the graph of y=-4x2?
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If a>0, the parabola is concave up.
If a<0, the parabola is concave down.
A big a means a narrow parabola while a small a means it is wide.
First, check the coefficient of the equation y=-4x2.
The value of a is a large negative number, so we can deduce that the graph is narrow.
Next, check the sign of a.
Because a=-4 is negative, we can say that the graph is concave down.
Hence, we can choose from the options which best matches the characteristics of the parabola identified above.
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Question 5 of 5
Which of the following shows the graph of y=-14x2?
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If a>0, the parabola is concave up.
If a<0, the parabola is concave down.
A big a means a narrow parabola while a small a means it is wide.
First, check the coefficient of the equation y=-14x2.
The value of a is a small negative number, so we can deduce that the graph is wide.
Next, check the sign of a.
Because a=-14 is negative, we can say that the graph is concave down.
Hence, we can choose from the options which best matches the characteristics of the parabola identified above.