Write the quadratic function in standard form.

y=(2x+7)(x+4)

in the form y=ax^2+bx+c,

y=2x^2+15x+28 once you foil

y = 2x^2 =15 x + 28

y = 2x^2+ 15 x + 28

To write the quadratic function in standard form, we need to expand the expression and rearrange the terms.

Given the function: y = (2x + 7)(x + 4)

First, we need to multiply the two binomials using the distributive property:

y = 2x(x + 4) + 7(x + 4)

Next, simplify each term:

y = 2x^2 + 8x + 7x + 28

Combine like terms:

y = 2x^2 + 15x + 28

Therefore, the quadratic function in standard form is y = 2x^2 + 15x + 28.