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1 year ago

10

Suppose f(x)=x^2 and g(x)=5x^2. Which steamy best compares the graph of g(x) with the graph of f(x)?

1 answer:

ankoles [38]1 year ago

5 0

By understanding and applying the concepts of dilation and <em>quadratic</em> functions, the function g(x) is a <em>vertically dilated</em> version of f(x) by a factor of 5.

<h3>How to compare the graphs of two functions</h3>

In this questions we know two <em>quadratic</em> equations of the form y = a · x². f(x) is known as the <em>canonical</em> function as a = 1 and g(x) is the consequence of <em>dilating</em> f(x) <em>vertically</em> by a factor of 5. Now we proceed to present graphically between the two functions.

In a nutshell, the function g(x) is a <em>vertically dilated</em> version of f(x) by a factor of 5.

To learn more on quadratic functions: brainly.com/question/2263981

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Graph a line with a slope of -3 that contains the point (4, -2)

Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

This is the required line equation

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3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

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

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

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2 years ago

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7nadin3 [17]

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3 years ago

During the first part of a hike, Andre drank 1.5 liters of the water he brought. If this 50% of the water he brought, how much d

8090 [49]

Answer:

3 liters

Step-by-step explanation:

if 1.5 liters is 50% of the original amount, then to find the original amount you must multiply by two, or:

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3 years ago

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