Reflection over the x-axis and shifted 3 units to the left
From the parent graph f(x) = , we can conclude that:
1. Reflected over the x-axis because we multiplied by -1 to flip it to positive.
2. Horizontally shifted the graph to the left because of the +3 (take the opposite for horizontal movement)
That is how we get f(x) = .
Edit: I have no idea why the mods and AL2006 reported my answer and deleted it. I still got the same answer. The child function f(x) = , not f(x) =
Option A is the answer
Here f(x) =-
in order to change the sign in front ,we need to reflex it with respect to x axis
and since here 3 is added to x [ as its x+3 in place of x ] which means it change in x which gives 3 units to the left.
Option A is the answer.
A. f(x) = -4|x + 2| + 3
An absolute value graph is a v-shaped graph whose equation has the form y = a| x - h| + k where (h,k) is the vertex. On the graph the vertex is (-2,3). This means its equation is y = a| x --2| + 3. It simplifies to y = a|x+2|+3. To find a, look at the answer options. Each option has 4 or -4. Since the graph faces downward, it has a negative leading coefficient of a = -4. The equation is y = -4|x+2|+3