4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1,-5) I
ULTS
Factor completely
5) 15m2 - 6
6) 2x2 + 5x - 10% - 25

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

simplifying the equation

subtract 3 from both sides

Divide both sides by 4

So our equation in vertex form is:

5)

Given the expression

Factor out the common term 3n

6)

Given the expression

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of