Question

This is not a quiz!please hurry and answer this question because I have a assignment I need to do and this will help me for notes!

Answer 1

a) We want to check if the graph is concave up or down

As we can see, the value of a is greater than zero

What that means is that the graph opens up and thus it is concave up

b) We want to get the value of the axis of symmetry

Mathematically, we have this as;

`\begin{gathered} x\text{ = }(-b)/(2a) \\ \\ a\text{ = 4, b = 3} \\ \\ x\text{ = }(-3)/(2(4))=\text{ }(-3)/(8) \\ \\ x\text{ = }(-3)/(8)\text{ } \end{gathered}`

c) Vertex

`\begin{gathered} \text{The vertex form is;} \\ a(x-h)^2\text{ + }k \\ \text{where vertex is (h,K)} \\ So,\text{ we have;} \\ 4x^2+3x-7\text{ as } \\ 4(x+(3)/(8))^2-(121)/(16) \\ \\ So,\text{ vertex is (}(-3)/(8),(-121)/(16)) \end{gathered}`

d)