Chapter 8 Quadratic Graphs and Their Attributes Features Answer Key Form
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People also ask
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What are the key attributes of quadratic graphs?
The graph of a quadratic function is a parabola. A parabola is a U-shaped curve that can open either up or down. The axis of symmetry is the vertical line passing through the vertex. The zeros, or x-intercepts, are the points at which the parabola crosses the x-axis.
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When a 1 the parabola is than y x 2?
The parabola is narrower than y=x2 if |a|>1. The parabola opens wider than y=x2 if |a|<1.
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What does 1 2 do to a parabola?
Example 2: The Parabola Opens Wider Because the absolute value of 1/2, or |1/2|, is less than 1, the graph will open wider than the graph of the parent function.
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What is the rule of the parabola?
The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola y2 = 4ax.
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Which graphs are quadratic explain your answer?
Characteristics of Parabolas The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
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What is the vertex in big ideas math?
The lowest point on a parabola that opens up or the highest point on a parabola that opens down is the vertex. The vertex form of a quadratic function is f(x) = a(x − h)2 + k, where a ≠ 0 and the vertex is (h, k). k indicates a vertical translation.
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What happens to the parabola when a is greater than 1?
If the absolute value of "a" is greater than 1, the parabola will be narrow. If the absolute value of "a" is less than 1, the parabola will be wide. If the absolute value of "a: is 1, the parabola is average.
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What is a parabola y x 2?
Notice that the equation y = x2 is a polynomial equation with the highest exponent of x being 2. Therefore, it is a quadratic equation. This tells us that the graph of y= x2 will be in the form of a parabola. A parabola is a curve in the shape of a U or an upside-down U.
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