Consider the quadratic function f (x) = x2 - 5x + 6.
What does b = ?

A quadratic function is represented as ax² + bx + c. In this case, if you look at the coefficient of x, you'll see that b = -5.

b is the coefficient of the middle term. In this case, -5

Step-by-step explanation:

In a linear equation, the function is in the form of y=mx+b  

In a linear equation m is the slope. b is a constant, and it is the y-intercept.

f(x) represents the "y" value obtained when a given number is plugged in to x.

In a quadratic equation, (and it would be helpful to insert a carat ^ [shift + 6] before the exponent so it is clear)

the form is  a and b are the coefficients. if none, "1" is understood.

the exponent will determine the shape of the parabola.

The b will determine how far to the left or right the parent graph is transformed. ( divide by 2 and use the opposite sign)

but the c is a constant and still indicates the y-intercept.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.