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
Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)
dilated by a scale factor of 0.50
1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)
B.)
-1.5 -2.5 2 3.5
<span> 1 -2 3 0 </span>
A central angle means an angle that is at the center of a circle and whose legs are intersecting the circle.
<h3>What is a central angle?</h3>
Your information is incomplete as the data is not given. Therefore, an overview will be given.
Central angles are shaped by an arc between the two points. When a central angle and the inscribed angle intercept the same arc, then the central angle would be the double of the inscribed angles while the inscribed angle will be half of the central angle.
Learn more about central angle on:
brainly.com/question/19758686
They are actually the same.....Hope this helped you!!
