Ask question

Ask question

All categories

valentina_108 [34]

3 years ago

12

Find the line of symmetry for the parabola whose equation is y equals 2x squared minus 4X plus one

1 answer:

zlopas [31]3 years ago

3 0

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola<span>. We determine as follows:

y = 2x^2 - 4x + 1
</span>
y = a(x – h)2<span> + k
</span>
y = 2(x^2 - 2x) + 1
y = 2(x^2 - 2x + 1) + 1 - 1
y = 2(x - 1)^2

Therefore, the line of symmetry passes through the vertex ( 1, 0) with an equation x = 1.

You might be interested in

Calvin bought 2 t-shirts for $50, and Bradley bought 4 t-shirts for $90. Did they pay the same rate? Explain your reasoning.

umka21 [38]

No they did not bc Bradley paid less than Calvin bc if you get $90 divided by 4 it is $22.5 per shirt for Bradley but if you do $50 divided by 2 Calvin paid $25 for each shirt and then add $25 4 times bc Bradley bought 4 shirts and not 2 so get Calvin unit rate and times 4 and compare and you will see Bradley paid less for 4 shirts than Calvin

7 0

3 years ago

Please help me,

Galina-37 [17]

I would say it is D.

4 0

3 years ago

Khan Academy 8th grade

Zina [86]

Answer:

d=101

Step-by-step explanation:

$\sf d=-20+11t$ $\sf when$ $\sf t=11$

$\sf d=-20+11(11)$

$\sf d=-20+121$

$\sf d=101$

Hope it helps!

8 0

2 years ago

Pre image ABCD was dilated to produce image A’B’C’D why is the scale factor from the pre image? Enter your answer in the box as

shepuryov [24]

The scale factor of the dilation from ABCD to A′B′C′D′ is 3.

Step-by-step explanation:

Step 1:

In the pre-image ABCD, the length of one of the sides is given as 14 units.

For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.

Step 2:

To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the given length of the sides CD and C′D′.

So the scale factor = $\frac{C^{1} D^{1} }{CD} = \frac{8}{14} = \frac{4}{7} .$

So the shape ABCD is dilated by a scale factor of $\frac{4}{7}$ to produce the shape A′B′C′D′.

7 0

4 years ago

Una comercializadora de café necesita construir una bodega con forma de cubo. La capacidad de la bodega debe ser de 216 metros c

Alexus [3.1K]

Answer:

La arista de la bodega debe medir 6 metros.

Step-by-step explanation:

Podemos encontrar la arista de la bodega sabiendo su volumen:

$V = a^{3}$

En donde:

V: es el volumen de un cubo = 216 m³

a: es la arista del cubo =?

La arista del cubo es:

$a = \sqrt[3]{V} = \sqrt[3]{216 m^{3}} = 6 m$

Por lo tanto, la arista de la bodega debe medir 6 metros.

Espero que te sea de utilidad!

8 0

3 years ago