#7 is the easiest one.
a + bi = -9 + 4i
see the expression on either side matches up so..
a = -9 and b = 4
Answer:
(x+12)(x-12)
Step-by-step explanation:
x intercept = (1,0)
y intercept = (0,-3)
if you have more problems you an use desmos.com and go to where it says f(x) expression
Given:
Consider the quadratic function is

With given vertex (5,8) and given point (1,3).
To find:
The equation of quadratic function.
Solution:
The quadratic function is
...(i)
Where, (h,k) is the vertex and a is a constant.
Vertex is (5,8). So,


Putting
in (i), we get
...(ii)
The given point is (1,3). Putting x=1 and y=3 in (ii), we get




Putting
in (ii), we get

Therefore, the required quadratic function is
.