Mathematics

Grade10

Easy

Question

The coordinates of the vertex of the parabola, whose equation is y = 2x² + 4x - 5 are:

(2, 11)
(-1, -7)
(1, 1)
(-2, -5)

hint Hint:

The vertex of a parabola is its sharp turning point. It is the point where the parabola intersects its axis of symmetry.

The correct answer is: (-1, -7)

Given the quadratic equation, $y equals 2 x squared plus 4 x minus 5$
Now we isolate constants to the other side, $y plus 5 equals 2 x squared plus 4 x$
Adding 2 on both sides, we get
$y space plus space 5 space plus space 2 equals 2 open parentheses x squared space plus space 2 x space plus space 1 close parentheses y space plus space 7 equals 2 left parenthesis x space plus space 1 right parenthesis squared y space equals space 2 left parenthesis x space plus space 1 right parenthesis squared space minus space 7$
The vertex form of the quadratic equation is $y equals 2 left parenthesis x plus 1 right parenthesis squared minus 7$ .
Therefore, vertex is (-1, -7).

The other method to find the vertex of a parabola is as We know that the x-coordinate of a vertex, (i.e) h is -b/2a. Now, substitute the x-coordinate value in the given standard form of the parabola equation y=ax2+bx+c, we will get the y-coordinate of a vertex.

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The coordinates of the vertex of the parabola, whose equation is y = 2x2 + 4x - 5 are:

(2, 11)(-1, -7)(1, 1)(-2, -5)

The vertex of a parabola is its sharp turning point. It is the point where the parabola intersects its axis of symmetry.

The correct answer is: (-1, -7)

Given the quadratic equation, Now we isolate constants to the other side, Adding 2 on both sides, we getThe vertex form of the quadratic equation is .Therefore, vertex is (-1, -7).

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The coordinates of the vertex of the parabola, whose equation is y = 2x² + 4x - 5 are:

(2, 11)
(-1, -7)
(1, 1)
(-2, -5)

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