Vertex/Axis of Symmetry for 4x^2+11x-3 ·

02 Jun 2024, 00:00

Vertex/Axis of Symmetry for 4x^2+11x-3 Image to Crop

Find the vertex, vertex form, and axis of symmetry for

4x^2+11x-3

Set up the a, b, and c values:

a = 4, b = 11, c = 1

Vertex of a parabola

(h,k) where y = a(x - h)2 + k

Use the formula rule.

Our equation coefficients are a = 4, b = 11

The formula rule determines h

h = Axis of Symmetry

h =	-b
	2a

Plug in -b = -11 and a = 4

h =	-(11)
	2(4)

h =	-11
	8

h = -1.375 ← Axis of Symmetry

Calculate k

k = ƒ(h) where h = -1.375

ƒ(h) = (h)2(h)1

ƒ(-1.375) = (-1.375)2(-1.375)1

ƒ(-1.375) = 7.5625 - 15.125 + 1

ƒ(-1.375) = -6.5625

Our vertex (h,k) = (-1.375,-6.5625)

Determine our vertex form:

The vertex form is: a(x - h)2 + k

Vertex form = 4(x + 1.375)2 - 6.5625

Final Answer

Axis of Symmetry: h = -1.375
vertex (h,k) = (-1.375,-6.5625)
Vertex form = 4(x + 1.375)2 - 6.5625

You have 1 free calculations remaining

What is the Answer?

Axis of Symmetry: h = -1.375
vertex (h,k) = (-1.375,-6.5625)
Vertex form = 4(x + 1.375)2 - 6.5625

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.
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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 meet

Vertex/Axis of Symmetry for 4x^2+11x-3

Find the vertex, vertex form, and axis of symmetry for 4x^2+11x-3 a = 4, b = 11, c = 1 Use the formula rule. Our equation coefficients are a = 4, b = 11 h = Axis of Symmetry h = -1.375Axis of Symmetry