Mathematics: What is the standard form of the equation of a parabola is y = 5x^2 + 20x + 14. what is the vertex form of the equation

What is the standard form of the equation of a

alyssanewsome

25.05.2020

vertex form is y=a(x-h)^2+k

comlpete the square

y=5x^2+20x+14

group x terms

y=(5x^2+20x)+14

factor quadratic coefient

y=5(x^2+4x)+14

take 1/2 of linear coefient and square it

4/2=2, 2^2=4

add positive and negative of it inside the parentheasees

y=5(x^2+4x+4-4)+14

factor perfect squarer trinomial

y=5((x+2)^2-4)+14

expand

y=5(x+2)^2-20+14

y=5(x+2)^2-6 is vertex form

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XxrazorxX11

20.09.2022

10m^2 + 73m - 56.

Step-by-step explanation:

(10m - 7)(m + 8)

= 10m^2 - 7m + 80m - 56

= 10m^2 + 73m - 56

Hope this helps!

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