Quiz about Graphing Quadratics in Vertex or Intercept Forms

Question 1

Which of the following equations represents the standard form of a quadratic function?

Accepted Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-b\right)\left(x-c\right)$$

Answer

$$y=a\left(x-h\right)^2+k$$

Question 2

Which of the following equations represents the vertex form of a quadratic function?

Accepted Answer

$$y=a\left(x-h\right)^2+k$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-b\right)\left(x-c\right)$$

Question 3

Which equation is in intercept form? (also known as factored form)

Accepted Answer

f(x) = -3(x - 1)(x + 5)

Answer

f(x) = 3x +2

Answer

f(x) = x² + 2x + 3

Answer

f(x) = -4(x - 2)² + 1

Question 4

Which of the following vocabulary words describes the point where a quadratic function reaches its highest or lowest point?

Accepted Answer

Vertex

Answer

Y-Intercept

Answer

X-Intercept(s)

Answer

Axis of Symmetry

Question 5

Find ALL of the X-Intercepts of the following Quadratic Function:

$$y=-2\left(x-9\right)\left(x-1\right)$$

(Only 1 of them are below)

Accepted Answer

$$\left(1,0\right)$$

Accepted Answer

$$\left(9,0\right)$$

Answer

$$\left(0,18\right)$$

Answer

$$\left(-9,0\right)$$

Answer

$$\left(-2,0\right)$$

Question 6

Find the Axis of Symmetry of the following Quadratic Function:

$$y=\left(x+2\right)\left(x-4\right)$$

Accepted Answer

$$x=1$$

Answer

$$x=-4$$

Answer

$$x=-2$$

Answer

$$x=-1$$

Answer

$$x=-3$$

Question 7

Find the Vertex of the following Quadratic Function:

$$y=-\left(x+3\right)^2-4$$

Accepted Answer

$$\left(-3,-4\right)$$

Answer

$$\left(4,5\right)$$

Answer

$$\left(3,-4\right)$$

Answer

$$\left(4,3\right)$$

Answer

$$\left(-3,12\right)$$

Question 8

Find the Axis of Symmetry of the following Quadratic Function:

$$y=\frac{1}{2}\left(x+9\right)^2-8$$

Accepted Answer

$$x=-9$$

Answer

$$x=9$$

Answer

$$x=-2$$

Answer

$$x=-1$$

Answer

$$x=-8$$

Question 9

Which quadratic function is represented by the graph?

Accepted Answer

y = -(x - 1)² - 4

Answer

y = -(x + 1)² - 4

Answer

y = -(x + 1)² + 4

Answer

y = (x + 1)² + 4

Question 10

Determine the vertex of h(x) = (x - 8)(x + 2)

Accepted Answer

(3, -25)

Answer

(-8, 2)

Answer

(8, -2)

Answer

(3, 25)

Question 11

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

Accepted Answer

y = - 1(x - 1)(x - 3)

Answer

y =(x - 1)(x - 3)

Answer

y = -1/2(x - 1)(x + 3)

Answer

y = 2(x + 1)(x - 3)

Graphing Quadratics in Vertex or Intercept Forms

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