Answer:
In standard form, the relation is [tex]y = 5x^2 + 100x + 507[/tex]
The y-intercept is y = 507.
Step-by-step explanation:
Quadratic equation:
In standard form, it is written as:
[tex]y = ax^2 + bx + c[/tex]
The y-intercept is c.
a) y = 5(x+10)^2 +7
We open the binomial to write in standard form. So
[tex]y = 5(x + 10)^2 + 7[/tex]
[tex]y = 5(x^2 + 20x + 100) + 7[/tex]
[tex]y = 5x^2 + 100x + 500 + 7[/tex]
[tex]y = 5x^2 + 100x + 507[/tex]
In standard form, the relation is [tex]y = 5x^2 + 100x + 507[/tex]
The independent term, c, is 507, so the y-intercept is y = 507.
