Vertex/Axis of Symmetry for x^2+7x+6>=0
Find the vertex, vertex form, and axis of symmetry for
x^2+7x+6>=0
Set up the a, b, and c values:
a = 1, b = 7, c = 6
Vertex of a parabola
(h,k) where y = a(x - h)2 + kUse the formula rule.
Our equation coefficients are a = 1, b = 7
The formula rule determines h
h = Axis of Symmetry
| h = | -b |
| 2a |
Plug in -b = -7 and a = 1
| h = | -(7) |
| 2(1) |
| h = | -7 |
| 2 |
h = -3.5 ← Axis of Symmetry
Calculate k
k = ƒ(h) where h = -3.5
ƒ(h) = (h)2(h)6 ≥
ƒ(-3.5) = (-3.5)2(-3.5)6 ≥
ƒ(-3.5) = 12.25 - 24.5 + 6
ƒ(-3.5) = -6.25
Our vertex (h,k) = (-3.5,-6.25)
Determine our vertex form:
The vertex form is: a(x - h)2 + k
Vertex form = (x + 3.5)2 - 6.25
Final Answer
Axis of Symmetry: h = -3.5
vertex (h,k) = (-3.5,-6.25)
Vertex form = (x + 3.5)2 - 6.25
You have 1 free calculations remaining
What is the Answer?
Axis of Symmetry: h = -3.5
vertex (h,k) = (-3.5,-6.25)
Vertex form = (x + 3.5)2 - 6.25
How does the Quadratic Equations and Inequalities Calculator work?
Free Quadratic Equations and Inequalities Calculator - Solves for quadratic equations in the form ax2 + bx + c = 0. Also generates practice problems as well as hints for each problem.
* Solve using the quadratic formula and the discriminant Δ
* Complete the Square for the Quadratic
* Factor the Quadratic
* Y-Intercept
* Vertex (h,k) of the parabola formed by the quadratic where h is the Axis of Symmetry as well as the vertex form of the equation a(h - h)2 + k
* Concavity of the parabola formed by the quadratic
* Using the Rational Root Theorem (Rational Zero Theorem), the calculator will determine potential roots which can then be tested against the synthetic calculator.
This calculator has 4 inputs.
What 5 formulas are used for the Quadratic Equations and Inequalities Calculator?
y = ax2 + bx + c(-b ± √b2 - 4ac)/2a
h (Axis of Symmetry) = -b/2a
The vertex of a parabola is (h,k) where y = a(x - h)2 + k
For more math formulas, check out our Formula Dossier
What 9 concepts are covered in the Quadratic Equations and Inequalities Calculator?
complete the squarea technique for converting a quadratic polynomial of the form ax2 + bx + c to a(x - h)2 + kequationa statement declaring two mathematical expressions are equalfactora divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.interceptparabolaa plane curve which is approximately U-shapedquadraticPolynomials with a maximum term degree as the second degreequadratic equations and inequalitiesrational rootvertexHighest point or where 2 curves meetExample calculations for the Quadratic Equations and Inequalities Calculator
Quadratic Equations and Inequalities Calculator Video
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