Question

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answer 1

Answer:

See below ~

Step-by-step explanation:

Equation of Graph A :

• No x-intercepts
• Y-intercept at (0, 4)
• y = x² + 4

Equation of Graph B :

• x-intercepts at (-2, 0) and (2, 0)
• y = (x - 2)(x + 2)
• y = x² - 4

Equation of Graph C :

• opens downwards ⇒ coefficient of x² is -ve
• x-intercepts at (-1, 0) and (1, 0)
• y = - (x + 1)(x - 1)
• y = -x² + 1
• y = 1 - x²

Answer 2

For the function: y = x² + 4

• y intercept: (0, 4)

• x intercept: None

• vertex: (0, 4)

For the function: x² - 4

• y intercept: (0, -4)

• x intercept: (-2, 0) and (2, 0)

• vertex: (0, -4)

For the function: 1 - x²

• y intercept: 1

• x intercept: (1, 0) and (-1, 0)

• vertex: (0, 1)

Conclusion:

green line = x² + 4;  blue line = x² - 4; black line = 1 -x²