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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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Nuetrik [128]

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

Distance LM = 3(1.732)

Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

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3 years ago
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qualit
antiseptic1488 [7]

Answer:

\=x=82

Step-by-step explanation:

From the question we are told that:

Data

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Generally the equation for Point estimate \=x is mathematically given by

\=x=\frac{\sum_x}{n}

\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}

\=x=\frac{984}{12}

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Gavin made a wooden planter in the shape of a cube. He measured the inside of the planter and found that each side is 38.75 cm l
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Answer:

3/5

Step-by-step explanation:

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2*1*1= 2 m^3 per chest

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Another ex.

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