Rewrite the function in standard form.
y=(x+4)(x+3)
y=x^2 +7x+12;; f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form".
the other is
(x+7/2)^2 -.5=0
I don't understand the answer. Could you explain it a bit more. Just trying to understand a little better.
To rewrite the function in standard form, we need to expand the expression and rearrange the terms.
Start by multiplying the terms using the distributive property:
y = (x + 4)(x + 3)
y = x(x + 3) + 4(x + 3)
This gives us two binomial products: x(x + 3) and 4(x + 3). Expanding each of these binomial products, we get:
y = x^2 + 3x + 4x + 12
Next, combine like terms to simplify the expression:
y = x^2 + (3x + 4x) + 12
y = x^2 + 7x + 12
Finally, we have rewritten the function in standard form as y = x^2 + 7x + 12.