HPC Section 2.1 Part 2

HPC Section 2.1 Part 2

Quadratic functions

Open Ended

Find the vertex by getting the equation into vertex form.

(Complete the square)

$$f\left(x\right)\ =\ 2x^2-10x+\frac{7}{2}$$  

Open Ended

Write the equation of the parabola that has a vertex of (-4, 11) and goes through the point (-6, 15)

Multiple Choice

Is the vertex of the parabola a max or a min?

$$f\left(x\right)=-2x^2-12x+1$$

• maximum

• Minimum

• neither

• no way to tell

Multiple Choice

Use $$-\frac{b}{2a}$$   to find the vertex of the parabola:

$$f\left(x\right)=-2x^2-12x+1$$  

• (3, 18)

• (-3, 19)

• (3, 19)

• (3, -19)

Multiple Choice

Use $$-\frac{b}{2a}$$   to find the vertex of the parabola:

$$f\left(x\right)=x^2+8x$$  

• (-4, 16)

• (-4, -16)

• (4, -16)

• (4, 16)

Open Ended

In your group find the vertex and tell whether it is a maximum or minimum.

$$f\left(x\right)\ =\ 2x^2+8x+15$$