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.