Question 1

Given the equation $$y = 9x^2$ - 12x + 4$$, what is the vertex of the parabola?

Accepted Answer

$$(1, 1)$$

Question 2

Which of the following represents the axis of symmetry for the parabola $$y = 9x^2$ - 12x + 4$$?

Accepted Answer

$$x = 1$$

Question 3

What is the minimum value of the function $$y = 9x^2$ - 12x + 4$$?

Accepted Answer

$$y = 1$$

Question 4

If $$y = 9x^2$ - 12x + 4$$ models the height (in meters) of a projectile as a function of time $$x (in $$seconds), what is the time at which the projectile reaches its minimum height?

Accepted Answer

$$x = 1$$

Question 5

Rewrite $$y = 9x^2$ - 12x + 4 in $$vertex form.

Accepted Answer

$$y = 9(x - 1)^2$ + 1$$

Question 6

What is the value of $$y$$ when $$x = 2 in $$the equation $$y = 9x^2$ - 12x + 4$$?

Accepted Answer

$$y = 8$$

Question 7

Which of the following best describes the graph of $$y = 9x^2$ - 12x + 4$$?

Accepted Answer

A parabola opening upwards

Question 8

What is the discriminant of the quadratic equation $$9x^2 - 12x + 4 = 0$?

Accepted Answer

$$0$$

Question 9

How many real solutions does the equation $$9x^2 - 12x + 4 = 0$ have?

Accepted Answer

One real solution

Question 10

If $$y = 9x^2$ - 12x + 4$$ represents the cost (in dollars) to produce $$x$$ units of a product, what is the minimum cost?

Accepted Answer

$$1$$

Solving Trigonometric Equations: Example Problem

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