Der Punkt (-12, 4) liegt auf dem Graphen von y = f (x). Finden Sie den entsprechenden Punkt in der Grafik von y = g (x)? (Siehe unten)

Antworten:

$(-12,2)$
$(-10,4)$
$(12,4)$
$(-3,4)$
$(-12,16)$
$(-12, -4)$

Erläuterung:

Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value ( $4$ ) and divide it by 2 to get $2$ .

Therefore, the new point is $(-12,2)$

Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value ( $-12$ ) to get $-10$ .

Therefore, the new point is $(-10, 4)$

Making the input of the function negative will multiply every x-value by $-1$ . To get the new point, we will take the x-value ( $-12$ ) and multiply it by $-1$ to get $12$ .

Therefore, the new point is $(12,4)$

Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value ( $-12$ ) by $4$ to get $-3$ .

Therefore, the new point is $(-3,4)$

Multiplying the whole function by $4$ increases all y-values by a factor of $4$ , so the new y-value will be $4$ times the original value ( $4$ ), or $16$ .

Therefore, the new point is $(-12, 16)$

Multiplying the whole function by $-1$ also multiplies every y-value by $-1$ , so the new y-value will be $-1$ times the original value ( $4$ ), or $-4$ .

Therefore, the new point is $(-12, -4)$

Endgültige Antwort