With algebra! completing the square!

Part a:

Part b: Maximum value

Step-by-step explanation:

Part a.

The given function is .

We need to complete the square to obtain the vertex form

Add and subtract the square of half the coefficient of x.

The quadratic trinomial within the parenthesis is now a perfect square

The vertex form is

Part b

Comparing to , we have a=-2.

Since a is negative the vertex is a maximum point.

Hence the function has a maximum value

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu