2 years ago

What is the effect on the graph of f(x) if it is changed to f(x) + 7 and f(x + 7)?Linear, quadratic and exponential

1 answer:

7 0

I cant tell you everything, but changing it to f(x)+7 means you move the graph UP 7 on the y-axis. And f(x+7) means you move the graph DOWN 7 on the x-axis because it is 'counter intuitive' when inside the bracket. so you basically do the opposite.

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$y=mx+b$

m - slope

b - y-intercept

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$3y=-2x-6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x-2$

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $m_1=-\dfrac{2}{3}$

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$m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}$

We have the equation of a line:

$y=\dfrac{3}{2}x+b$

Put the coordinates of the point (0, 0) to the equation:

$0=\dfrac{3}{2}(0)+b$

$0=b\to b=0$

Answer: $\boxed{y=\dfrac{3}{2}x}$

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