The statements about the function that are true are
- The vertex of the function is at (–3,–16).
- The graph is increasing on the interval x > –3.
- The graph is positive only on the intervals where x < –7 and where x > 1.
<h3>How to interpret the graph?</h3>
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
Read more about quadratic functions at
brainly.com/question/14933288
#SPJ1
The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points
and 
is 
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴
= -5 and
= 3
∴
= 2 and
= 5
- Substitute these values in the rule of the distance
∵ 
∴ 
∴ 
∴ 
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
Learn more:
You can learn more about the distance between two points in brainly.com/question/6564657
#LearnwithBrainly
Answer:
Step-by-step explanation:
m÷350 = 299
m = 299×350 = 104,650
57/ 3591
= (57/57) / (3591/57)
= 1/63
The final answer is 1/63~