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Greeley [361]
2 years ago
12

Which of these is the quadratic parent function?

Mathematics
1 answer:
Mashutka [201]2 years ago
3 0

Answer:

f(x)=x^2

Step-by-step explanation:

The quadratic parent function, has no transformations, and has the vertex at (0, 0). Which is the function: f(x)=x^2. Any other quadratic function, has some form of transformation, whether it be a reflection, translation, compression/stretch, etc...

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Given: S is the midpoint of QR, QR¯⊥PS¯ and ∠RSP and ∠QSP are right angles.<br><br> Prove: PR≅PQ
tigry1 [53]

ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.

<h3>What is the CPCTC Theorem?</h3>

If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.

Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)

∠RSP ≅ ∠QSP [right angles] (one pair of congruent included angles)

SP ≅ SP based on the reflexive property (one pair of congruent sides)

Therefore, ΔRSP ≅ ΔQSP by SAS.

Conclusively, PR ≅ PQ by CPCTC theorem.

Learn more about the CPCTC theorem on:

brainly.com/question/6076251

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