3 years ago

WILL GIVE BRAINLIEST IF CORRECT!

Mathematics

2 answers:

nlexa [21]3 years ago

4 0

Answer:

$y=-2y-7$

Step-by-step explanation:

Coordinates plotted on the equation:

$(1,-4)$

$(4,-5)$

{check the image for your reference}

Angelina_Jolie [31]3 years ago

3 0

Answer:

y=0.5x-3.5

Step-by-step explanation:

(-4)-(-5)=1

3-1=2

1/2=0.5

y=0.5x-3.5

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Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4

Grace [21]

To transform the function $f(x)= cos(x)$ to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have $y=3f(x)$

To transform the function $f(x)=cos(x)$ to have the midline $y=-4$ we need to subtract $f(x)$ by 4, so we have $y=f(x)-4$ ,

To transform the function $f(x)=cos(x)$ to have period of $\frac{ \pi }{2}$ , we need to divide the original period $2 \pi$ by 4, so we have $y=f(4x)$ . Note that it is the $4x$ gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes

Hence, the full transformation is given $y=3f(4x)-4$ which is the last option