Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Answer:
Step-by-step explanation:
<u>Given functions f(x) and g(x). f(x) is:</u>
<u>Converted into vertex form, it is:</u>
<u>g(x) has vertex at (-2, -14), it's vertex form is:</u>
Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).
Both have positive leading factors, therefore the vertex is their minimum point.
Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.
Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.
Correct choice is A
Answer:
1. y=-1/3x 2. y=2
Step-by-step explanation:
Answer:
21.00d+0.10m<=115.00
Step-by-step explanation:
d=days m=miles it must be less than or equal to 115 dollars
Your answer is c, hope this helps, ask me any questions if needed+