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3 years ago

Which of the following describes the transformation of the graph y=x^2 in graphing y=-x2-5?

Mathematics

2 answers:

Verdich [7]3 years ago

6 0

Answer:

Option a. is the correct option.

Step-by-step explanation:

In the question given graph is y = x² which is transformed into y = -x²-5

then we can interpret the graph as below

1). y = -x²-5 is a function of a parabola.

2). Since the graph is in the form of y = ax²+b

Now if we reverse/reflect the graph on x axis then a becomes -a.

Therefore y = -x² - 5 gets reflected over the x-axis.

3) Since b represents the y-intercept, if it's negative then graph is shifted down and for positive b graph is shifted upwards. Here -5 shows the shift of 5 downwards.

Therefore option a is the correct option.

yuradex [85]3 years ago

3 0

Answer:

Option a

Step-by-step explanation:

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Which simplified expression matches the set of tiles shown?

notka56 [123]

Answer:

The expression - x² - x + 2 and - x² + x + 2 matches the set of tiles

Step-by-step explanation:

Given four expression as :

A ) - x² - x + 2

solving by mid term breaking

Or, - x² - 2 x + x + 2

Or, - x ( x + 2 ) + 1 ( x + 2 )

or, ( x + 2 ) ( - x + 1 )

B ) x² - x + 2

solving by mid term breaking

Or, x² - 2 x + x + 2

or, x ( x - 2 ) + 1 ( x + 2 )

So, the expression will not break

C ) - x² + x + 2

solving by mid term break

Or, - x² + 2 x - x + 2

or, - x ( x - 2 ) - 1 ( x - 2 )

or, ( x - 2 ) ( - x - 1 )

D ) x² + x + 2

solving by mid term break

Or, ) x² + 2 x - x + 2

Or, x ( x + 2 ) - 1 ( x - 2 )

so, The expression will not break

Hence The expression - x² - x + 2 and - x² + x + 2 matches the set of tiles answer

6 0

3 years ago

Which equation represents the magnitude of an

Basile [38]

Answer:

$M=\log{(100S)}$

Step-by-step explanation:

The Richter scale, the standard measure of earthquake intensity, is a logarithmic scale, specifically logarithmic base 10. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).

How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever power of 10 S corresponds to; to write this relationship as an equation, we can say $10^m=S$ , which we can rewrite in logarithmic form as $m=\log{S}$ .

We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation

$M=\log{(100S)}$ .

To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so $3=\log{S}$ . Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation $M=\log{(100S)}$ using the product rule for logarithms to get the equation