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tia_tia [17]
3 years ago
5

In what ways does adding a constant or coefficient to a quadratic equation affect the graph?

Mathematics
2 answers:
nekit [7.7K]3 years ago
4 0
When you add a constant to a quadratic equation, the vertex of the graph will change depending on whether the constant is positive or negative.
When you add a coefficient to a quadratic equation, the graph will widen or narrow depending on whether the coefficient is positive or negative.
The axis of symmetry always passes through the vertex.
The key features of a quadratic graph are vertex, axis of symmetry, intercepts, focus, latus rectum, and directrix.
Radda [10]3 years ago
4 0
<h2>Answer with explanation:</h2>

<u>Ques 1)</u>

The quadratic equation is given by:

y=a(x-h)^2+k

                      Vertex is: (h,k)

Hence, on adding a simple constant the y-coordinate of the vertex gets changed , since there is a change in the term "k"

and adding a coefficient to the quadratic equation will change the graph in the manner that it could be wide or narrow depending on whether the coefficient is greater than 1 or less than 1 and also the sign of the coefficient describes whether the graph is open upward or downward.

<u>Ques 2)</u>

The axis of symmetry and the vertex are related in the manner that the axis of symmetry always passes through the vertex of the graph.

i.e. if the graph is a upward or downward open parabola then axis of symmetry is: y=k

and if the graph is a right or left open parabola then axis of symmetry is: x=h

where the vertex is: (h,k)

<u>Ques 3)</u>

The key features of a quadratic graph are:

1)   Vertex.

2)  Axis of symmetry.

3) x-intercept( also known as zeros)

4)  y-intercept.

5)  Focus

6)  Directrix.

7)  Latus Rectum.

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Option E

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