Quadratic Equations Question Preview (ID: 61685)
Determine Quadratic Equations, Vertex, Axis Of Symmetry, And Transformations.
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Which is a quadratic function?
a) 3x + y^2 = 5
b) 3x^2 + y = 5
c) y = 3x + 5
d) x = 3y + 5
Which function has a graph that opens downward?
a) -x^2 + y = 0
b) x^2 - y = 0
c) -y = x^2 + 1
d) y = x^2 - 1
What is the vertex of the graph of y = -2x^2 + 8x - 3
a) (2, 5)
b) (-2, -27)
c) (-2, 5)
d) (4, -11)
The height in feet of a rocket launched from the ground can be modeled by the function f(x) = -16x^2 + 96x, where x is the time in seconds after it is launched. What is the rocket’s maximum height?
a) 144 feet
b) 240 feet
c) 288 feet
d) 432 feet
Which function’s graph has an axis of symmetry of x = 2?
a) y = -3x^2 - 12x + 6
b) y = 3x^2 - 6x + 12
c) y = 3x^2 + 12x + 6
d) y = -3x^2 + 12x + 6
f(x) = x^2 and g(x) = 3x^2 + 1. Which statement is true?
a) g(x) is wider than f(x)
b) g(x) is narrower than f(x)
c) g(x) and f(x) have the same vertex
d) g(x) and f(x) have different axes of symmetry
Which function has a vertex different from the vertex of the graph of f(x) = 2x^2 + 1?
a) g(x) = x^2 + 4
b) g(x) = 3x^2 + 1
c) g(x) = x^2 + 1
d) g(x) = -2x^2 + 1
The vertex of a quadratic function is in the second quadrant. The related equation has no real solutions. Which statement is true?
a) The graph opens down.
b) The graph opens up.
c) The y-intercept is 0.
d) The axis of symmetry is x = 0.
What are the solutions of (x + 2)(x - 3) = 0?
a) x = 2 and x = -3
b) x = -2 and x = -3
c) x = -2 and x = 3
d) x = 2 and x = 3
What are the solutions of 0 = x^2 + 4x - 5?
a) x = -5 and x = 4
b) x = -5 and x = 1
c) x = 5 and x = -4
d) x = 5 and x = -1
What are the solutions of 0 = 9x^2 - 36?
a) x = -6 and x = 6
b) x = -4 and x = 4
c) x = -3 and x = 3
d) x = -2 and x = 2
A rectangle with an area of 124 square centimeters has a length that is 4 times the width. How long is the width? (Round your answer to the nearest tenth.)
a) 5.6 cm
b) 11.1 cm
c) 22.3 cm
d) 44.5 cm
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