Identify the vertex, axis of symmetry and the max/min value of the function.
y= (1 - 5)^2 – 16

Vertex:

Axis of symmetry:

Max/Min value of the function: The minimum value of the curve is -16

Step-by-step explanation:

The correct statement is now described:

Identify the vertex, axis of symmetry and the max/min value of the function.

Vertex

Based on the definition of the standard form of the equation of the parabola  with a vertical axis of symmetry we can find where the vertex is:

(1)

Where:

, - Coordinates of the vertex, dimensionless.

- Constant, dimensionless.

, - Independent and independent variables, dimensionless.

The standard form of the given equation is:

Then, we notice that the vertex of parabola is located at .

Axis of symmetry

In this case, the axis of symmetry corresponds to a vertical line that passes through the vertex. Therefore, the axis of symmetry is represented by .

Max/Min value of the function

Given that the constant () is greater than zero, it means that given parabola contains an absolute minimum represented by the vertex. Then, the minimum value of the curve is -16.

true

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)