Question

y=x^2+10x+8A.) Identify the coefficients (a, b, and c) B.) Tell whether the graph opens up or opens down C.) Find the vertex. Write as a coordinate. D.) Find the axis of symmetry. Write as an equation. E.) Find the y-intercept Write as a coordinate.

Answer 1

Step-by-step explanation:

A.

The standard form of a quadratic equation is given as;

`y=ax^2+bx+c`

Given the below quadratic equation;

`x^2+10x+8`

If we compare the given quadratic equation with the standard form of a quadratic equation, we can see that;

`a=1,b=10,and\text{ c = }8`

B.

We can tell if the graph of the given equation will open up or down by considering the coefficients of x^2.

If the coefficient of x^2 is greater than zero, then the parabola will open upwards but if the coefficient of x^2 is less than zero, then the parabola will open downwards.

Since the coefficient of x^2 in the given equation is greater than zero, then the parabola will open upwards.

C.

To find t