What is the the vertex of #y =5x^2+14x-6 #?
1 Answer
The vertex is
Explanation:
where:
The vertex is the minimum or maximum point on a parabola. To find the vertex of a quadratic equation in standard form, determine the axis of symmetry, which will be the
Axis of symmetry: vertical line that divides the parabola into two equal halves. The formula for the axis of symmetry for a quadratic equation in standard form is:
Plug in the known values and solve for
Simplify.
Reduce.
To find the
Simplify.
Simplify.
Reduce
Simplify.j
In order to add or subtract fractions, they must have a common denominator, called the least common denominator (LCD). In this case, the LCD is
Multiply
Simplify.
Simplify.
The vertex is
graph{y=5x^2+14x-6 [-14.36, 14.11, -20.68, -6.44]}