Quadratic Key Features

Key Features of Quadratics

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Multiple Choice

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Multiple Choice

What is the significance of the ordered pair (2, -4) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Multiple Choice

Which point is the vertex?

• (-8, 0)

• (-5, -9)

• (-2, 0)

• (-9, -5)

Multiple Choice

What are the green dots called?

• y-intercepts

• rate of change

• vertex

• x-intercepts

Multiple Choice

Which function has an axis of symmetry of x = 0?

• None of the above

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Multiple Choice

What does the h term tell you?

• left or right

• left or right, opposite sign, axis of symmetry, x-value of the vertex.

• axis of symmetry, x-value of the vertex

• nothing.

Multiple Choice

What does the k term tell you?

• up.

• down.

• up/down, y-value in the vertex

• nothing

Multiple Choice

Identify the a, h, and k term from the following equation: $$\left(x+3\right)^2+2$$  

• a=-1, h=3, k=2

• a=3, h=3, k=3

• a=1, h=-3, k=2

• a=1, h=-3, k=-2

Multiple Choice

Determine the vertex from the following equation: $$-3\left(x-4\right)^2+1$$  

• Vertex: (4,1)

• Vertex: (-4, -1)

• Vertex: (4, -1)

• Vertex: (-4, 1)

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Multiple Choice

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

Multiple Choice

What is the y-intercept of 
f(x)=2x² + 4x + 6

• (6 , 0)

• (-6 , 0)

• (0, -6)

• (0 , 6)

Multiple Choice

What is the y-intercept of the following funtion
f(x) = -2x² +3x - 7

• (0, -2)

• (0, 3)

• (0, -7)

• (0, 7)

Multiple Choice

Does the equation open or or down? 
Y = -3x² +7x - 2

• up

• down

Multiple Choice

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

• Minimum value, because the a value is positive

• Maximum value, because the b value is positive

• Maximum value, because the a value is positive

• Minimum value, because the c value is negative

Multiple Choice

The graph of y=-2x²+3 will have a:

• minimum

• maximum

• neither

Multiple Choice

Which value tells you the y-intercept?

• a

• b

• c

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Multiple Choice

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - m)(x - n)

• f(x) = a(x - h)² + k

Multiple Choice

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

• (-5, 0) and (9, 0)

• (5,0) and (-9, 0)

• (5, 0) and (9, 0)

• (-3, 0) and (5, 0)and (-9, 0)

Multiple Choice

In f(x) = a(x - p)(x - q), what does "a" tell us?

• The slope

• If the Parabola opens up or down

• x coordinate of the x - intercept

• y coordinate of the y - intercept

Multiple Choice

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Multiple Choice

What are the solutions?

(2x + 5)(5x - 2) = 0

• x = -5/2, -2/5

• x = -5/2, 2/5

• x = 5/2, 2/5

• x = 5/2, -2/5

Multiple Choice

.How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Multiple Choice

Which quadratic equation models the parabola shown?

• y = (x-2)(x-5)

• y = (x+2)(x+5)

• y = -(x+2)(x+5)

• y = -(x-2)(x-5)