Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

12 jim starts with the equation $y = -2x$. he draws a new graph and mov…

Question

12 jim starts with the equation $y = -2x$. he draws a new graph and moves the graph 10 units up. what is the new equation? $y=12x$

Explanation:

Step1: Recall vertical shift rule

For a function $y = f(x)$, shifting it $k$ units up gives $y = f(x) + k$.

Step2: Apply shift to given equation

Here, $f(x) = -2x$ and $k = 10$. Substitute into the rule:
$y = -2x + 10$

Answer:

$y = -2x + 10$