The vertex of the parabola y-2-x-3 2 isA- -3-2B- 3-2C- -3-2D- 3-2

The correct option is B (3, 2)If the vertex of a parabola is (h,k), then its equation will be nbsp;y k=(x h)2 ∴the equation of the parabola can be rewritten a ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XIII

Mathematics

Quadratic Polynomial

The vertex of...

Question

The vertex of the parabola $y + 2 = (x - 3)^{2}$ is

(-3,2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(3,-2)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(-3,-2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(3,2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B (3,-2)
If the vertex of a parabola is (h,k), then its equation will be $y - k = (x - h)^{2}$
$∴$ the equation of the parabola can be rewritten as: $y - (- 2) = (x - 3)^{2}$
On comparing, h=3, k=-2
$∴$ The vertex of the parabola is (3,-2)

Suggest Corrections

Similar questions

The image of point (3, 2) under the operation $M_{o} . M_{y}$ is

The image of a point P reflected in the x- axis is $(- 3, 2)$ . The co-ordinates of P will be ?.

Q. The eccentricity of the conic

4 (2 y - x - 3)^{2} - 9 (2 x + y - 1)^{2} = 80

Q. Vertex of the parabola formed by taking reflection of

y = 4 x^{2} - 4 x + 3

along the line

y = x

will be

The area of a triangle is 5 square units. Two of its vertices are (2, 1) and (3, -2) and the third vertex lies on y = x + 3, the third vertex is

Join BYJU'S Learning Program

The vertex of the parabola y+2=(x−3)2 is

The correct option is B (3,-2)If the vertex of a parabola is (h,k), then its equation will be y−k=(x−h)2 ∴the equation of the parabola can be rewritten as: y−(−2)=(x−3)2 On comparing, h=3, k=-2 ∴The vertex of the parabola is (3,-2)

The vertex of the parabola $y + 2 = (x - 3)^{2}$ is

The correct option is B (3,-2)
If the vertex of a parabola is (h,k), then its equation will be $y - k = (x - h)^{2}$
$∴$ the equation of the parabola can be rewritten as: $y - (- 2) = (x - 3)^{2}$
On comparing, h=3, k=-2
$∴$ The vertex of the parabola is (3,-2)