SHOWING YOUR WORK find an equation in standard form of the parabola passing through the points

Step-by-step explanation:

let the equation be y = mx + b.

m = (7.5 - 3.5)/(0 - (-1))

= 4

sub (0, 7.5):

7.5 = 4(0) + b

b = 7.5

therefore, eqn is y = 4x + 7.5

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!