Question

Answer the questions below based on the two quadratic functions(THIS IS ONE QUESTION)a) what is the vertex of function one?( , ) b) what is the vertex of function two? ( , ) c) which function has smaller minimum value? 1-function 1 2-function 2 d) What is a smaller minimum value?

Answer 1

Answer

• a) Vertex of function one: (4, 3)

• b) Vertex of function two: (–4, 7)

,

• c) function 1

,

• d) (4, 3)

Explanation

a)

The vertex of the function is the point where the two lines of the parabola meet:

b)

Additionally, to get the vertex of the function (h, k), we can use the formula:

$h=-\frac{b}{2a}$

where, in our case, a = 2 and b = 16:

$h=-\frac{16}{2\cdot2}=-\frac{16}{4}=-4$

And k can be calculated as:

$k(-4)=2(-4)+16(-4)+39$$k(-4)=7$

Thus, the vertex is (–4, 7).

c) and d)

The smaller minimum value is the lowest value at which the vertex is. As 3 < 7, function 1 has the smaller minimum value of (4, 3).