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3 years ago

A system of linear equations is graphed.

Mathematics

1 answer:

FromTheMoon [43]3 years ago

5 0

The solution of a system, in graphic terms, is where the lines intersect. Ordered pairs follow this form (x,y). Note that all x values are on the horizontal line (think of running when you think of x) and all y values are on the vertical line (think of jumping when you think of y).

According to the graph, y is 0 since the inserect is directly on the x-axis. So (-,0). Cross out A and C because these answer choices do not have '0' as their y-value. This leaves (1/2,0) or (1/3,0). The answer that seems most likely is D. 0.5 (1/2) is closer to 1, and can rounded to 1, opposed to 0.3 (rounded 1/3) The point of solution seems close to one.

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---------------------------------------------------------------

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Describe the transformation of f(x) to g(x). Pleaseee helllp thank youuuu!!!

olasank [31]

The transformation set of $y$ values for function $f$ is $[-1,1]$ this is an interval to which sine function maps.

You can observe that the interval to which $g$ function maps equals to $[-2,0]$ .

So let us take a look at the possible options.

Option A states that shifting $f$ up by $\pi/2$ would result in $g$ having an interval $[-1,1]+\frac{\pi}{2}\approx[0.57,2.57]$ which is clearly not true that means A is false.

Let's try option B. Shifting $f$ down by $1$ to get $g$ would mean that has a transformation interval of $[-1,1]-1=[-2,0]$ . This seems to fit our observation and it is correct.

So the answer would be B. If we shift $f$ down by one we get $g$ , which means that $f(x)=\sin(x)$ and $g(x)=f(x)-1=\sin(x)-1$ .

Hope this helps :)

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