A parabola is a mirror-symmetrical U-shape.
- The equation of the parabola is
- The focus is
- The directrix is
- The axis of the symmetry of parabola is:
From the question, we have:
The equation of a parabola is:
Substitute the values of origin and vertex in
Collect like terms
Solve for a
Substitute the values of a and the vertex in
The focus of a parabola is:
Substitute the values of a and the vertex in
The equation of the directrix is:
So, we have:
----- the directrix
The axis of symmetry is:
We have:
Expand
Expand
A quadratic function is represented as:
So, we have:
Recall that:
So, we have:
This gives
Hence, the axis of the symmetry of parabola is:
Read more about parabola at:
brainly.com/question/21685473
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Answer:42.55
Step-by-step explanation:
Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many 2's. So total is 33.5 so far. Next triangle is 2 by 5 soo 10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5
Answer:
c. 20,000cm
Step-by-step explanation:
from is house to the park is 100m
from the park back to his house is another 100m
100m+100m=200m
1m = 100cm
200m = xcm
cross multiply
xcm = 200×100
xcm= 20,000cm
