Name ______________Per: ______

Algebra 1

Quadratics Unit 2 Practice Test – Use a scratch piece of paper if necessary

Factor the trinomial in #1 and #2. 1. 5𝑥2 + 16𝑥 + 3 2. 2𝑥2 + 3𝑥 − 2

Graph the equation in #3. Graph the equation in #4.

3. Graph the following function by using –b/2a to find

the vertex. Show all your work and fill in the

questions below.

𝑦 = 2𝑥2 − 6𝑥 + 1

a. Vertex = ( , )

b. y – intercept = ______

4. Graph the following function by plotting the vertex

and using “a” to find two other points. Also, fill in the

question below.

𝑦 = −2(𝑥 + 3)2 + 4

a. Vertex = ( , )

For each quadratic equation in Problems 5-10, write what form it is in (factored form, vertex form, or standard

form) and pick out the key pieces of information from the equation, as it is given.

5. 𝑦 = −3𝑥2 + 5𝑥 + 8

Form: Standard Form

Key Info: Y – int is (0, 8)

Opens down

Steeper than 𝑦 = 𝑥2

6. 𝑦 = (𝑥 − 10)2 + 7

Form: Vertex Form

Key Info: Vertex is (10, 7)

Opens up

Same steepness as 𝑦 = 𝑥2

7. 𝑦 = (𝑥 − 3)(𝑥 + 2)

Form: Factored Form

Key Info: X – int: (3, 0) & (-2, 0)

Opens up

Same steepness as 𝑦 = 𝑥2

8. 𝑦 = (𝑥 + 1)2 − 4

Form: Vertex Form

Key Info: Vertex is (-1, -4)

Opens up

Same steepness as 𝑦 = 𝑥2

9. 𝑦 = 2𝑥2 − 3𝑥 − 7

Form: Standard Form

Key Info: Y – int is (0, -7)

Opens up

Steeper than 𝑦 = 𝑥2

10. 𝑦 = −(𝑥 + 8)(𝑥 − 1)

Form: Factored Form

Key Info: X – int: (-8, 0) & (1, 0)

Opens down

Same steepness as 𝑦 = 𝑥2

Tell whether the data represent a linear, an exponential, or a quadratic function in Problems 11 and 12.

11. Identify each type of function below.

a.

b.

c.

12. Identify each type of function below and explain how you know

a.

Type of function: _____________________

How you know:

b.

Type of function: _____________________

How you know:

13. You invest money in an account that has two options: growing

exponentially or linearly. Both accounts’ 10-year graphs are shown.

a. How long would you need to leave your money in the account for

the linear option to be better?

b. How long would you need to leave your money in the account for

the exponential option to be better?

They cross at 8.75 years.