PLS i need help ! Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept. y=-2x^2+12x-26

The equation of the polynomial in vertex form is , its vertex is .

The expression of the axis of symmetry is .

The y-intercept of the function is -26.

Step-by-step explanation:

The vertex form of the second order polynomial is defined by the following expression:

 (1)

Where:

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

- Coordinates of the vertex, dimensionless.

- Vertex constant, dimensionless.

Let , then we proceed to present the produre for the determination of the vertex form:

1) Given

2) /

3) Distributive property

4) Associative and distributive properties

5)

6) Perfect square trinomial

7) Distributive property

8)

9) Compatibility of addition/Existence of the additive inverse/Modulative property/Result.

The equation of the polynomial in vertex form is , its vertex is .

The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is .

The y-intercept is the value of the polynomial when , then, the value is:

The y-intercept of the function is -26.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.