State whether the equation represents a linear, quadratic, or exponential function.
x^2 + 6 = -8 x
a quadratic has as its highest power a square term such as x^2
a linear equation has no exponents on the x's and y's
an exponential function has a variable in the exponent.
which pattern fits ?
Quadratic?
correct
To determine whether the equation represents a linear, quadratic, or exponential function, we need to examine the highest power of the variable (x) in the equation.
In the given equation x^2 + 6 = -8x, we observe that the highest power of x is 2. This indicates that the equation is quadratic.
A quadratic function is a function that can be written in the form of ax^2 + bx + c = 0, where a, b, and c are constants.
Therefore, the equation x^2 + 6 = -8x represents a quadratic function.