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.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

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step-by-step explanation: