Answer:
When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>
When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>
Step-by-step explanation:
Part A:
The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k
(h , k) is the vertex of the graph.
So, for the first part, what y = |x + h| is saying is y = |x - (-h)|.
The -h is substituted for h, and negatives cancel out, resulting in x + h.
This translates to the left of the graph.
Part B:
For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.
This translates to the right of the graph.
Answer:
1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3
2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15
3. x=3 is the line of symmetry of h(x), shown in the graph.
Step-by-step explanation:
To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero. This is a vertical line passing through the vertex of the second degree function.
1. f(x) = -4(x − 8)2 + 3
setting x=8 will give f(8) = 3, so x=8 is the line of symmetry
2. g(x) = 3x2 + 12x + 15
here, we need to complete the squares,
g(x) = 3x2 + 12x + 15
g(x) = 3(x^2+4x+5)
g(x) = 3(x^2 + 2(2x) +4 +1)
g(x) = 3((x+2)^2 +1)
So setting x=-2 will anihilate or cancel the squared term, therefore
x= -2 is the line of symmetry.
3. the curven shown in graph,
we see that the vertex is at x=3, so x=3 is the line of symmetry.
Answer:
Your dead meat then...
Step-by-step explanation:
But I’m pretty sure its b?
sorry if it’s wrong
Answer:
-8
Step-by-step explanation:
(-2)(-2)(-2)
4(-2)
-8
Answer: is there any pictures that we need to answer the question or no?
Step-by-step explanation:
