Free Printable Intro to Quadratic Relations

1.

In a table of values, if the "first differences" are all equal, this tells us that the relation must be:

(a)

2.

In a table of values, if the "second differences" are all equal, but not zero, this tells us that the relation must be:

(a)

3.

If you graph the quadratic relation $y=-5x^2+8x-3$ , the constant term in the equation (-3) represents the:

a)

x-intercept

b)

y-intercept

c)

vertex

d)

vertical shift

4.

This key point on a parabola can be at the very bottom (minimum) or at the very top (maximum). What is this point called?

(a)

5.

What is another name for the x-intercepts of a parabola?

(a)

6.

This vertical line can be drawn through the centre of a parabola and cuts the parabola directly in half.

a)

Axis of symmetry

b)

Vertex line

c)

y-axis

d)

Asymptote

7.

The parabola represented by the equation $y=-x^2+4x-3$ :

a)

Opens up

b)

Opens down

c)

Opens left

d)

Opens right

8.

Compared to the parabola $y=x^2$ , which parabola is vertically stretched (narrow)?

a)

$y=\frac{1}{2}x^2+4$

b)

$y=-x^2+x-3$

c)

$y=x^2+8x$

d)

$y=3x^2-x+1$

9.

Compared to the parabola $y=x^2$ , which parabola is vertically compressed (wide)?

a)

$y=\frac{1}{2}x^2+4$

b)

$y=-x^2+x-3$

c)

$y=x^2+8x$

d)

$y=3x^2-x+1$

10.

Compared to the parabola $y=x^2$ , which parabola is reflected in the x-axis (opens down)?

a)

$y=\frac{1}{2}x^2+4$

b)

$y=-x^2+x-3$

c)

$y=x^2+8x$

d)

$y=3x^2-x+1$

11.

Which equation best represents the parabola shown on the graph?

a)

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

b)

$y=x^2+4$

c)

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

d)

$y=x^2-4$

12.

Which equation best represents the parabola shown on the graph?

a)

$y=\left(x-5\right)^2-1$

b)

$y=\left(x-1\right)^2-5$

c)

$y=\left(x-5\right)^2+1$

d)

$y=\left(x+1\right)^2-5$

13.

Which equation best represents the parabola shown on the graph?

a)

$y=-x^2-2$

b)

$y=-2x^2$

c)

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

d)

$y=x^2-2$

14.

Which equation best represents the parabola shown on the graph?

a)

$y=x^2+1$

b)

$y=-x^2-1$

c)

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

d)

$y=x^2-1$

15.

Compared to the graph of $y=x^2$ , which parabola is:

reflected in the x-axis AND vertically stretched by a factor of 2 AND shifted 1 unit down?

a)

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

b)

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

c)

$y=-2x^2-1$

d)

$y=-x^2-2$

Intro to Quadratic Relations

Total questions: 15

Worksheet time: 10mins

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