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Temka [501]
3 years ago
14

Order the group of quadratic functions from widest to narrowest graph

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0

Answer:

Widest to narrowest

y=-\frac{1}{5}x^2 -  y=-\frac{1}{3}x^2 - y=-7x^2                  

Step-by-step explanation:

Given :  Graph 1 - y=-7x^2

Graph 2- y=-\frac{1}{5}x^2

Graph 3 - y=-\frac{1}{3}x^2

To find : Order the group of quadratic functions from widest to narrowest graph.

Solution :

First we plot the given graph,

Refer the attached figure below.

In the graph, we see that all graph has same vertices (0,0) and

Graph 2 with green in color  y=-\frac{1}{5}x^2 is the most widest graph among all.

Then graph 3 with purple in color is the widest and then graph 1 with blue in color is the most narrowest graph.

So, The order of the graph from widest to narrowest is

Graph 2 - Graph 3 - Graph 1

y=-\frac{1}{5}x^2 -  y=-\frac{1}{3}x^2 - y=-7x^2

likoan [24]3 years ago
5 0
Y=-1/5x^2
y=-1/3x^2
y=-7x^2
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Answer:

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General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

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<u>Calculus</u>

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*Note:

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<u>Step 1: Define</u>

<em>Identify.</em>

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  1. [Derivative] Set up [Slope Formula]:                                                           \displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}
  2. Substitute in coordinates:                                                                           \displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}
  3. Evaluate:                                                                                                       \displaystyle f'(-2.4) \approx -14

---

Learn more about derivatives: brainly.com/question/17830594

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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