Free Printable Parabola U and ⋂

1.

1. Which of the following is the equation of parabola?

a)

$y=\left(x-2\right)^{2\ }$

b)

$y^2=\left(6-x\right)^2+2$

c)

$y=4^2-x$

d)

$y=\left(x^2-5x\right)-x^{2\ }$

2.

From the equation

y+12=x^2-5

, which of the following is correct about the shape of parabola?

a)

b)

3.

Which of the following is the equation having a common vertex to this parabola?

a)

$y=\left(x+1\right)^2-3$

b)

$y=\left(x-3\right)^2+1$

c)

$y=\left(x-3\right)^2-7$

d)

$y=\left(x+1\right)^2+7$

4.

$y=5-\left(x-1\right)^2$ intercepts y-axis at which point?

a)

(0,-4)

b)

(0,6)

c)

(0,-6)

d)

(0,4)

5.

Which of the following parabola has different shape from others?

a)

$\left(x+3\right)^2+y+3=0$

b)

$-x^2+y=0$

c)

$y=x^{2\ }+6x+9$

d)

$10+y=\left(x+3\right)^2-5$

6.

Which of the following is correct about the parabola of equation $y=\left(x+1\right)^2$ and $y=\left(x-1\right)^2$

a)

They have vertices at the same point

b)

They have common line of symmetry

c)

Both the vertices are at the mininum point

d)

Only one of them cuts x-axis

7.

Which of the parabola cuts y-axis at (0,-5)?

a)

$y=-5x^2$

b)

$y=-5\left(x+5\right)^2$

c)

$y=-5x^2-5$

d)

$y=-5\left(x-5\right)^2$

8.

Which of the following parabola does not intercept x-axis?

a)

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

b)

$y=x^2-1$

c)

$y=\left(x+1\right)^2$

d)

$y=x^2+1$

9.

Which of the following is FALSE about parabola that is in the form of $y=a\left(x-h\right)^2+k$ ?

a)

The vertex is at (h,k)

b)

The value of a determines whether it opens upward or downward

c)

All parabola in this form cuts y-axis at least once

d)

All parabola in this form cuts x-axis at least once

10.

What is the distance between the line of symmetry of

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

a)

1

b)

3

c)

5

d)

7

Parabola U and ⋂

Total questions: 10

Worksheet time: 30mins

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