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3 years ago

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

Mathematics

1 answer:

netineya [11]3 years ago

8 0

Answer:

g(x)=−4x^2 and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.

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Solve the system of linear equations using any method 6x+6y=-6, 5x+y=-13

Sergio [31]

Answer:

x=-3

y=2

Step-by-step explanation:

To solve this problem you can use the elimination method:

- Multiply the second equation by -6:

$(-6)5x+y=-13\\-30x-6y=78$

- Add both equations:

$6x+6y=-6\\-30x-6y=78\\-------\\-24x=72\\x=-3$

- Substitute the value of x into one of the original equations and solve for y:

$6(-3)+6y=-6\\-18+6y=-6\\6y=12\\y=2$

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natita [175]

I'm not sure what the options are as this appears to be a multiple choice question, but this probability is as follows:
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3 years ago

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Vanyuwa [196]

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Step-by-step explanation:

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3 years ago

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BaLLatris [955]

Answer:

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Step-by-step explanation:

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Match each transformation of function fwith a feature of the transformed function.

Grace [21]

The functions and their properties are

The function f(x) has its vertical asymptote at x = 0
The x-intercept of the function h(x) is (0.5,0)

<h3>How to match the functions and their properties?</h3>

The equations of the functions are given as:

f(x) = ln(x)

g(x) = -1/2f(x - 2)

h(x) = f(x - 1/2)

From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0

h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)

This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)

Hence, the x-intercept of the function h(x) is (0.5,0)