Question

!!! PLEASE HELP FAST !!

please help me with one a two :)

Answer 1

Question 1

Function given:

• y = x² + 4x - 4

In the vertex form:

• y = x² + 4x + 4 - 8 = (x + 2)² - 8

Axis of symmetry is the vertical line passing through the vertex.

The vertex is

• (-2,-8)

Axis of symmetry is

• x = -2

y- intercept is

• x = 0 ⇒ y = -4, so the point (0, -4)

Two other points are

• x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)
• x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)

See the graph with all the points plotted

Question 2

Function given:

• y + 2x² - 4x - 6 = 0

In standard form:

• y = -2x² + 4x + 6

In vertex form:

• y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8

The vertex:

• (1, 8)

Axis of symmetry is

• x = 1

y - intercept

• x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)

Two other pints:

• x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)
• x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)

The graph is attached with the points plotted.